[dparm]

If you're going to get serious about drag racing the car, buy a separate set of wheels and tires so you can run a Hoosier, Mickey Thompson, or some other type of ultra-sticky race tire. Bring a jack, jackstands, and some basic tools and you can change them out at the track.

A PS4S will be marginally better than an all season but it's a whole different league than an actual race tire.

I'll let others like Longboarder comment on best ways to drag the car.