Verified answer

In a tight corner, inertia would make the driver want to travel in a straight line while the car is cornering. Inertia would push him toward the outside of the turn. His head would experience several lateral G's. There are pads that prevent his head from leaning too far over. This reduces the need for the driver to use his neck muscles to keep his head straight and thus reduces fatigue. I doubt that a modern F1 driver would be able to run a full race while holding up his head without the restraints.

Immune to inertia would mean that for any force applied there would be an infinite acceleration (basic physics). Therefore, a car 'immune' to inertia would travel an infinite speed, and therefore never be able to complete a lap. For this reason, one immune to wind resistance (I assume this means air resistance?) would win every time.