Davis-Monthan, eh? Not the worst part of town at least.
I don't know too much about drag racing in Tucson, but if you want to go fast with other people trying to go faster than you, take a drive out on Ajo Highway. It's relatively flat past the big hill on the way out of town, relatively straight, relatively cop free, and features two glorious lanes of 90+ mph traffic all day every day(the speed limit is 65. Welcome to Arizona!).
To be completely honest... I thought Tucson was kind of a shithole. It's hot, it's expensive, it has some of the worst roads in Arizona, which in turn has some of the worst roads in the southern U.S., and pretty much everyone north of 6th is an *******. It has some absolutely fantastic Mexican food, though. If you're into that, check out Pico de Gallo on 6th ave and 36th st, or El Sur on 22nd st just past Craycroft.