As I am in gear moving forward and turn sharply, then the forward or rear motion is hesitant. I guess that the power steering's demand for fluid is taking precedent over something else.

Question edited for clarity and dreadful spelling of 'Cadillac'.
Question moved to model category.

Yes it does have power steering.

https://www.google.com/search?q=2009+Cadillac+DTS+power+steering

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Question edited for clarity, name of maker.
Question moved to sub category. We don't have a tractor one.

It is a known issue. Power steering repair kit.

https://www.google.com/search?q=small+valve+on+top+of+steering+cylinder+on+Mahindra+3525

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Which power steering system does your vehicle have ? EPS - electric power steering or hydraulic power steering . Do you have a EPS light lit on the instrument cluster ?

Power Steering System Description and Operation (EPS)
The power steering system reduces the amount of effort needed to steer the vehicle. The system uses the powertrain control module (PCM), body control module (BCM), power steering control module (PSCM), discrete battery voltage supply circuit, steering shaft torque sensor, steering wheel position sensor, power steering motor, driver information center (DIC), and the serial data circuit to perform the system functions. The PSCM and the power steering motor are serviced as an assembly and are serviced separately from the steering column assembly. The steering shaft torque sensor and the steering wheel position sensor are not serviced separately from each other or from the steering column assembly. The steering column assembly does not include the power steering motor and module assembly.

Power Steering System Description and Operation (HPS)
The hydraulic power steering pump is a constant displacement vane-type pump that provides hydraulic pressure and flow for the power steering gear. The hydraulic power steering pumps are either belt-driven or direct-drive, cam-driven.
The power steering fluid reservoir holds the power steering fluid and may be integral with the power steering pump or remotely located. The following locations are typical locations for the remote reservoir:
• Mounted to the front of the dash panel
• Mounted to the inner fender
• Mounted to a bracket on the engine
The 2 basic types of power steering gears are listed below:
• A recirculating ball system
• A rack and pinion system
In the recirculating ball system, a worm gear converts steering wheel movement to movement of a sector shaft. A pitman arm attached to the bottom of the sector shaft actually moves one tie rod and an intermediate rod move the other tie rod.
In the rack and pinion system, the rack and the pinion are the 2 components that convert steering wheel rotation to lateral movement. The steering shaft is attached to the pinion in the steering gear. The pinion rotates with the steering wheel. Gear teeth on the pinion mesh with the gear teeth on the rack. The rotating pinion moves the rack from side to side. The lateral action of the rack pushes and pulls the tie rods in order to change the direction of the vehicle's front wheels.
The power steering pressure hose connects the power steering pump union fitting to the power steering gear and allows pressurized power steering fluid to flow from the pump to the gear.
The power steering return hose returns fluid from the power steering gear back to the power steering fluid reservoir. The power steering return line may contain an integral fin-type or line-type power steering fluid cooler.
In a typical power steering system, a pump generates hydraulic pressure, causing fluid to flow, via the pressure hose, to the steering gear valve assembly. The steering gear valve assembly regulates the incoming fluid to the right and left chambers in order to assist in right and left turns.
Turning the steering wheel activates the valve assembly, which applies greater fluid pressure and flow to one side of the steering gear piston, and lower pressure and flow to the other side of the piston. The pressure assists the movement of the gear piston. Tie rods transfer this force to the front wheels, which turn the vehicle right or left.
© 2019 General Motors Corporation. All rights reserved.

steering rack or gear . 2X2 - 4X4 engine . Depends on steering system .
When you turn the steering wheel, the steering gear rotates the pitman arm which forces the relay rod to one side. The tie rods connect to the relay rod with the ball studs. The tie rods transfer the steering force to the wheels. Use the tie rods in toe adjustments. The tie rods are adjustable. The pitman arm support the relay rod. The idler arm pivots on a support attached to the frame rail and the ball stud attaches to the relay rod.
The 2 tie rod are threaded into the tube and secured with jam nuts. Right and left hand threads are used in order to permit the adjustment of toe.

Binding linkage , steering gear worn etc....

Power Steering System Description and Operation (w/o Electro-Hydraulic Steering)
The hydraulic power steering pump is a constant displacement vane-type pump that provides hydraulic pressure and flow for the power steering gear. The hydraulic power steering pumps are either belt-driven or direct-drive, cam-driven.
The power steering fluid reservoir holds the power steering fluid and may be integral with the power steering pump or remotely located. The following locations are typical locations for the remote reservoir:
• Mounted to the front of the dash panel
• Mounted to the inner fender
• Mounted to a bracket on the engine
The 2 basic types of power steering gears are listed below:
• A recirculating ball system
• A rack and pinion system
In the recirculating ball system, a worm gear converts steering wheel movement to movement of a sector shaft. A pitman arm attached to the bottom of the sector shaft actually moves one tie rod and an intermediate rod move the other tie rod.
In the rack and pinion system, the rack and the pinion are the 2 components that convert steering wheel rotation to lateral movement. The steering shaft is attached to the pinion in the steering gear. The pinion rotates with the steering wheel. Gear teeth on the pinion mesh with the gear teeth on the rack. The rotating pinion moves the rack from side to side. The lateral action of the rack pushes and pulls the tie rods in order to change the direction of the vehicle's front wheels.
The power steering pressure hose connects the power steering pump union fitting to the power steering gear and allows pressurized power steering fluid to flow from the pump to the gear.
The power steering return hose returns fluid from the power steering gear back to the power steering fluid reservoir. The power steering return line may contain an integral fin-type or line-type power steering fluid cooler.
In a typical power steering system, a pump generates hydraulic pressure, causing fluid to flow, via the pressure hose, to the steering gear valve assembly. The steering gear valve assembly regulates the incoming fluid to the right and left chambers in order to assist in right and left turns.
Turning the steering wheel activates the valve assembly, which applies greater fluid pressure and flow to 1 side of the steering gear piston, and lower pressure and flow to the other side of the piston. The pressure assists the movement of the gear piston. Tie rods transfer this force to the front wheels, which turn the vehicle right or left.


Your best bet , take it to a qualified repair shop.

Check transmission fill and differential fills for proper levels. Also, if temperature is cold, allow vehicle to warm up with transmission in forward gear for about ten seconds before moving to allow fluids to move freely along channels in transmission. In extremely cold climates, some change may be needed in viscosity of fluids. See your dealer for information on this. You didn't indicate how cold it is where you are driving, but low fluid levels, lack of adequate lubrication or severe cold can be a cause of this problem.

when you say you checked the rear end for problems and things appeared good did you check the rear end internally to see if there is a broken gear tooth or metal in the differential oil.i`ve one were this was the problem(a broken gear) that would get caught and stop the forward motion or make it hard to turn.i`ve also had it were the rear brakes were causing a forward motion problem like your having.the shoes were rotating so far when the drum was turning then apply and lock up until it was put in reverse.just some things to check out.if things were working good with the rear drive shaft removed and the problem starts with it in then the problem is in the back end some where as mentioned above.

It's hard to tell, from your description, as to the extent of the clunking.
If it seems to only and constantly occur whenever in forward motion, bumps or not, then I would first check your rear differential, (if 4x4 then your front differential as well).
Check fluid level(s) and if okay, remove cover and check for worn gears and any metal shavings on the magnet on bottom of housing.

Worn gears can toss your vehicle around, any make stomach turning clunks and other awful noises. I've recently replaced a front differential on a 1994 Dakota. It would make same clunks as you describe and a few times would make my back end seem to 'hop' while driving highway speeds. I would check this quickly.

If it only seems to happen over bumps, then your guess on engine mounts or bushings is probably the best guess.

Power Steering Gear
REMOVAL & INSTALLATION

1. Raise and safely support the vehicle, allowing the front suspension to hang
   freely.
   
2. Remove both front tire and wheel assemblies.
   CAUTION
   Failure to disconnect the intermediate shaft
   from the rack and pinion stub shaft can result in damage to the steering gear
   and/or intermediate shaft. This damage may cause a loss of steering control and
   possibly, personal injury.
   NOTE: The wheels of the vehicle must be straight ahead and the
   steering column in the LOCK position before disconnecting the steering column or
   intermediate shaft from the steering gear. Failure to do so will cause the SIR
   coil assembly to become uncentered, which will damage the coil.
   
   
   
   
3. If equipped, move the intermediate shaft cover upward, then unfasten the
   intermediate shaft-to-stub shaft pinch bolt.
   
4. Using a suitable puller, separate both tie rod ends from the steering
   knuckles.
   
5. Position a suitable drain pan under the power steering fluid lines. Remove
   the power steering fluid line retainer, then disconnect the outlet and inlet
   hoses from the steering gear. Allow the fluid to drain, then plug the lines to
   avoid contaminating the system.
   
   
   
   
   
   Fig. 1: Power steering fluid line routing - non-supercharged
   engine shown
   
   
   
   
   
   
   
   Fig. 2: Power steering gear inlet hose orientation -
   non-supercharged engines
   
   
   
   
   
   
   
   Fig. 3: Power steering hose routing and orientation -
   supercharged engine shown
   
   
   
   
   
6. Remove the steering gear assembly-to-chassis mounting bolts.
   
7. Support the body with suitable jackstands to allow for the lowering of the
   frame.
   
8. Loosen the front frame mounting bolts.
   
9. Remove the rear frame bolts, then lower the rear of the frame about 3 inches
   (76mm).
   WARNING
   Do not lower the frame too far, or you could
   damage the engine components nearest the cowl.
   
   
   
10. Remove the steering gear assembly by maneuvering it through the left wheel
    well opening.
    
    
    
    
    
    Fig. 4: Power steering gear mounting, with retainer tightening
    sequence and specifications
    
    
    To install:
    
    
11. Install the rack and pinion assembly into the vehicle, maneuvering it
    through the left wheel well opening.
    
12. Raise the rear of the frame, then install the frame bolts and tighten to 76
    ft. lbs. (103 Nm).
    
13. Install the rack and pinion assembly-to-chassis bolts. Tighten the rack
    mounting bolts to 50 ft. lbs. (68 Nm).
    
14. Remove the jackstands.
    
15. Apply Loctite® thread locking kit 1052624, or equivalent thread locking
    compound to the steering gear mounting bolts.
    
16. Install the steering gear mounting bolts, and washers, then tighten the
    retainers to 50 ft. lbs. (68 Nm) in the sequence shown in the accompanying
    figure.
    
17. Unplug and attach the power steering gear outlet and inlet hoses, then
    tighten the fittings to 20 ft. lbs. (27 Nm).
    
18. Install the power steering fluid line retainer.
    
19. Connect the tie rod ends to the steering knuckles. Tighten the nuts to 35
    ft. lbs. (47 Nm). Install a new cotter pin. Tighten the nut up to an additional
    1?6 turn,
    or to 52 ft. lbs. (70 Nm) to align the cotter pin slot. Do not loosen the nut to
    install the cotter pin.
    
20. Install the intermediate shaft-to-stub shaft pinch bolt and tighten to 35
    ft. lbs. (47 Nm). If equipped, move the intermediate shaft cover upward into
    position.
    
21. Install both front tire and wheel assemblies, then carefully lower the
    vehicle.
    
22. Refill the power steering pump reservoir, then bleed the power steering
    system and check for leaks.
    
23. Take the vehicle to a reputable repair shop and have the front end alignment
    checked and adjusted as necessary.

it may be the drive belt or the return line for the power steering or its low on power steering fluid wish you a Merry Christmas and a Happy New year also wish you the best of luck Michigan Man

if you are turning sharply the wheels are hitting the stops making a loud whirring almost squealing because the system will try to turn further but cannot due to the stops it is normal but a power steering flush would help prevent issues