If you like the sounds that makes, here is a very similar but slightly more complex approach that make a far more entertaining set of sounds. Justvbe very careful what you connect your DAC output to, a few of us have burned them out.
More power to the internal motor allowing it to move to position faster and hold its position with greater torque. Most servo packaging advises that performance will be better at 6volts, but servo life will also be shorter. Your choice.
In the UK we have a lot of rainbow trout fisheries which stock a small number of blue and also golden trout. These are rainbow trout that have been selectively bred to loose one or more pigments so they are no longer rainbow just blue or gold.
What you have described is exactly what a lot of transmitters have built in, its not very effective as there is no intelligence just a dumb pumping without any consideration of what is actually happening to the car.
If you really want to implement this with arduino, its easy but also quite ineffective.
Lots of transmitters even budget ones have an ABS Function built in, check if yours does.
If your model uses servos for brakes I think they might be too slow to implement a useful ABS function, a better approach would be to use your transmitter 'end point adjustments' to reduce the braking power so that you cannot lock up.
If your convinced that your servos are fast enough then that there are a few projects I have published which provide active control of RC Cars, this being one example -
If only my professors had accepted that definition I could have saved a lot of time in the past. Of course its the same with neural networks and genetic algorithms and even money in the bank is just 0s and 1s - we should all just give up and go home now.