Console mounting.
I would think the front and rear mounts welded to the floor would dictate if the console sits parallel to the car or off parallel.
If the front bracket was welded 1/2 inch to the pass side and the rear 1/2 inch to the driver's side that would rotate the console in relation to the car.
If you loosen all the mounting screws can you move it a bit?
If it's an automatic is the shifter in the correct location and fit well?