Assuming the car, floating in mid-air with the wheels stopped, weighs 1000kg, the wheels 100k, and both have the same lever arm, the car would rotate 10 times slower than the wheels once you accelerated them. Take into account the lever arm of the car (~1.5-2m ??? drive axle to CoG) versus the wheel (~0.25m mass radius on a wheel with a 0.7m diameter tire, such as 225/60/17), and that ratio drops to about 1:60 to 1:80. And that's a fairly light car with fairly heavy drive wheels, nearly 2 full orders of magnitude.
I'm talking strictly rotational velocity here with no external resistance.