I always find it somwhat comical (and scary) when people talk about "racing on the street". If you want to race, take it to the track.
Have you tried autocrossing? Thats a good test of how good a driver you are (that and seeing how well you can assemble a sea of orange cones into a racing circuit).
Or: I'm not sure what track is close to LA but I'm sure there has to be plenty. I've seen tracks with open track days where street cars (no roll cage) can do trial trials.
Or: Give karting a shot. THe initial investment can be as little as $2000 for a used setup (not little if you are broke but compared with other forms of "real" racing thats dirt cheap)
In any case, don't race on the street. You could very well wind up killing somone.