Hey Fickery.

I am willing to bet that your issues are due to lose cam adjusters or lower probability another loose part.

you should not have ANY movement in the rear suspension.

What you describe is very much like what if feels like when the cam adjusters are loose.

Trust me if one of your rear tires is pointing randomly based on the torque applied to it the car will be un driveable.

I dont think you could install the tie rods incorrectly unless the hole in the upright was rounded out and the pressed in stud was wobbling around.

However I have had my cam adjusters loosen up and its pretty terrible. I thought something broke on the car it was so bad.

In a pinch you can just put a ton of torque on the nuts, but it does not hold for long. Corvettes have the same problem on the track. The removal of the rear adjusters is actually more important then the front adjusters.