Remember, you have a LOT of torque to control, especially for a street car.
If it's your 2/3 shift that is the major problem, that is caused by the weight transfer from the right rear, to the left front, when the torque lifts the Rt rear. On 4 wheel vehicles, weight is transferred, across corners. On a road car, stiffer springs, all round, will help. Shocks, all round, too as well as a rear anti roll bar (sway bar), larger front bar, too..
There is also a matter of torque steer. Replace the spring bushings with urethane or metal. Consider a Panard bar, also.
As said above, more caster can help too. A little extra toe in might help. But, always do everything, one step at a time or, you'll never know what cures your problem.
One more thing. Do you have any positive offset on your front wheels? That can cause a car to pull to a side that has a bump or uneven surface. In this case it would be sudden unloading of the Lf front. That issue is called Scrub Radius. It's the distance the center of the tire contact is outside of the center of the king pin inclination.
After all is said and done, if you spend any time in corners, at speed, you'll have to balance the the Ft/rear spring rates to get it to handle. To stiff in the rear over steers, not good.