I think the torque output would probably break internal drive train components as soon as you hit the accelerator on a gear type setup (you also cant use the back tires for output, it will flip the car over).
You actually want / need some tire flex to absorb the initial torque. This is especially true with electric motors, where 100% of the torque shows up instantly (gas engines have a torque curve)
Watch a NHRA funny car start in slow motion. The big fat back tires actually wrinkle up into themselves a lot, then spring back out[1].