Crazy alignment problems

Hello Craig.
Agree with other posts that something could be loose.
You could try putting the car on 4 jack stands. Rear stands under axel and front under LCA as far out as possible to similate ride hight.
With someone Or something (ratchet straps work well) hold the stearing wheel so it can't move.
Now if you try to move the tires left to right by hand and have someone watch the suspension components wile you are shaking the wheels this may uncover what's going on.
You can also put a long bar / pipe under the tire and move it up and down to see if any thing is moving around. .
As always be careful wile on stands.
Hope this helps.
Keep us updated
Happy Mopar :)
Arron