I’m a new member here(and on’t be able to provide recommendations based on experience) but I think I might be able to contribute a bit here.
Having 2 motors, each powering a seperate wheel could cause problems if they spin at slightly different speeds but there are probably ways to make it work.
The Warp/Netgain motors can be pushed pretty hard from the little I have read online, so they might be a good choice. The White Zombie has 2 Warp 8 engines mated together and provides over 200 hp and over 700 ft/lbs ot torque. I don’t know how well the motors will last with a day’s driving though.
As for battery pack, since you say money isn’t much of a problem, Li-ion batteries might work for you. They are usually lighter then lead Acid batteries of similar capacity. Li-poly batteries might be the best if you can keep them safe becase they can supply a lot of current (they really hate being punctured and severly overcharged).
I don’t know how to calculate range so I don’t know how many batteries you’ll need for the car to last a track day.
I hope that was somewhat helpful. If there is anything really off, correct me, I’m here to learn (so I can start my own projects).