When applying the brakes, the whole car shimmys. replaced rear rotors , turned front rotors , and replaced all the pads
I think you should get the Tierod ends checked. When you get a Front-end alignment, the mechanic will check them. Although you turned the front Rotors, when you start Braking the front tires can wander differently than when they freewheel.
Sometimes you can get a rust problem on the Rotors that were just made shiny. Moisture on the pads imprints a rust blotch on the Rotor and they grab at the rust until the rust wears down. Then they are ok.
When the rear Rotors were replaced check your bill and see if the Emergency brake shoes were changed. The E brakes should have been adjusted when the Rotors were replaced. The Shimmy you describe can also be the ABS working. The ABS is a pulsating Brake action.
Get your front-end checked first, then as the mechanic road tests it when the Alignment is complete, he can judge the brakes.,
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