Multi time winner and Record holder here (our guys have a timing system, 4 lane track).
As mentioned work the nail axles with the dremel, we used emery cloth. Graphite lube, leave them a little loose. Really only need 3 wheels touching/turning.
Be careful working the wheels over, that can get you in trouble. We just cleaned up the little sprue where the plastic is injected, sanded just that spot.
Yep, wedge the begezus out of it. We used a pointy nose even, almost like an Indy car without wings. Nice and low. Fill in the axle slots, make it as smooth as possible, round off the rear top corners/edge.
But the real magic: The car starts on an incline, all ya got is gravity. The rear of the car is higher than the front, thus moves downhill more. Add lead as far back and as low as possible to maximum weight. I even made new axle locations farther back than the stock slots. Our cars (we have an open class too) would be right in the pack going downhill, then during the transition to flat would just spurt ahead, the rear weight was still pushing.
The first year my Son didn't listen, (he did box art

) but after that he did what I did. It worked great. (and yes he did everything on his car, and understood why, I'm not a total cheat!)
P.S. If you guys do the rubber band airplane thing on a wire, well I was unjustly accused of cheating there too! LMK.
Good Luck!