2,000 miles…. When I hit throttle hard from rolling 1st or 2nd, car wants to pull to the side and I have to pay ALOT of attention to keep it straight. Tire pressure for both rears is 30lbs. Normal mode and Drag mode. So, whats wrong ?
Several things could be causing the problem. I'd lean towards it being some kind of installation or setup issue, maybe a characteristic of the car. Being under warranty, I'd return to dealer and discuss.
If the car is consistently pulling to the same side during each pull, that could indicate either a suspension setup issue or a mechanical problem inside the differential.
In the standard 7G GT350, the car has some upgraded suspension components. It's a new car, which has then been modified. Something might not have been installed or adjusted correctly.
The differential is a Limited Slip type. If the surface traction is the same on both sides, the car should be evenly applying power, left and right. There's a chance something internal to the assembly is broken, the car always favoring one wheel or making the car one-wheel dominant. While possible, I put the odds at this as being pretty low. Something mis-installed during initial assembly? Maybe. Something broken? Possible. I'd expect some sounds and other odd habits to accompany this. It does read like your experiencing any.
If the car pulls to the side, but it seems to pull left or right at random, that could indicate something more like a setup issue or an environmental variable and how the car is interpreting that. It's 800+ HP. While the suspension might have been upgraded to live with that power, it might not be setup to apply it as expected.