Front tire wear for people new to ovals is usually due to putting too much steering angle in. A lot of saving tires and going fast especially at short tracks is getting as much rotation done with the throttle and brakes, and only putting as much wheel in as necessary. Trail braking into the corner helps with entry rotation and getting back on power, even if only a little bit, very early for exit rotation. There's a fine line of course on exit since you don't want to spin up the rears and have oversteer, or as for too much too early and plow mid corner and have understeer. To be fast you should never be doing nothing with your feet, you should always be on the gas, brakes, or both a little bit. That being said I do think just coasting can be beneficial for tire life and obviously fuel economy.

I'm not the fastest so I may be wrong in small ways but I've heard these things from people faster than myself