typically, you don't have to bother warmig up the tires. If it is cold outside I'll just gun it before I line up and spin the tires FOR NO MORE THAN A SECOND, usually less like half a second, and I will NOT go into the water box. That is sufficient to clean the tires off and get them just a LITTLE warmed up when needed.

You shouldn't burn out street tires. It just makes the traction on them worse. Even some "cheater slicks" (the DOT approved street slicks) shouldn't be burned out. For example, the Hoosier cheater slicks should be bunred out the first two uses or so to remove the glaze on them from manufacturing, after that you shouldn't burn them out.