I have recently changed (on the drivers side) the strut assy, inner & outer tie rods, sway bar link, lower control arm bushings & ball joint.
On the right side, so far only the wheel bearing hub assy. i do plan on changing the same parts on the right side as i did on the left. Just haven't yet.

So, two days ago, after i put on a new tire, it started this problem; when the car shifts, it will veer severely to the right, depending on how fast I'm accelerating.

Any ideas on the cause?

 

What about your tracking is that still the same or correct for your vehicle.