2006 JEEP WRANGLER X . ATABOUT 50 MPH SOME TIMES YOU GET WHEEL HOOPING IN FROUNT .

Not sure but the problem could be with the transfer case. The transfer case uses a heavy double chain and as it wears it can make a noise.

the line dont really engage the the transfer case, the engage the half shaft on the frount axel. the passenger side axel on the frount. theres a small box on the tube, inside is an actuator and a pikle fork that slides a ring onto the half shaft to engage the frount axel. this is done to improve turnig radus in 2 wd. the actuator goes out or gets stuck. you can check the lines and all that but on my jeep i removed the cover and used zip ties on the actuator rod to prevent it from disengaging. lost a little bit of turning but gained my 4wd back. for free. there are kits that replace this vacume system with a cable system but there expensive. just remeber jeep can stand for two things. Just Empty Every Poket or Just Enough Essental Parts. good luck and good wheeling

Check your brakes I had the exact prolem I had the front end aligned ,tires balanced 2 times it finally stopped when I chnged my brake pads

balance front tires and have front end inspected for worn joints

have the mounts checked on the control arms, alot of times the can bend slightly due to a "curb" check. Call a local 4X4 shop and tell them you are experiencing the "death shake" they should know what you are talking about. That was the problem on my 02 TJ, i had replaced everything when i noticed that the angle on the control arm looked a little off.

I would start by first making sure you dont have a bent rim. Check the tires for any bubbles in the sidewall or any deformation in the tire as this would suggest a broken cord inside the tire. If that checks out, get the tires balanced and see if that solves the problem.

Have the dealer tech run it through pot holes as well This may resolve your problem. Stablizer bushings maybe worn?

If it shake only when the brakes are applied, then it is a brake issue/ uneven wear on the pads & discs.
There are upper and lower control arms, but if they are bolted tight, it shouldn't be the issue. If you hear clicking, check out you CV joints.
Have you rotated you tires? Patterns can wear in and cause lots of shaking.

Your tie rod nut needs tightning, the extra play causes the front end to vibrate or wobble your vehicle and sterring wheel.

look under the car where your steering wheel gear box connects to the tie rod, see if the nut and carter key have slop in it.

if so, take the carter key out and tighten the nut and then replace the carter key as it was.

the test it on some bumps and potholes.

could be a bent rim ? have you changed the universal joints? how about the tie rods and stabilizer bar