Some a-hole tried to leave the scene of the accident on me (hit and run)

I was stopped at a stoplight. He hits me from behind, nothing major. I see him throw it in reverse and start to pull around me. I’m thinking “you motherfricker…” and start following him, trying to get my phone out to video his car and license plate. Within seconds, I see in my rear view mirror a cop. He bolts around my car and starts following the a-hole, who runs a red light. Cop puts his lights on and pulls him over. It turns out this guy was drunk, probably here illegally too. since the cop told me they had a hard time getting his name, and No insurance of course. The cops gave me a case number, his full name and address and took no information from me (no ID or anything).

The damage was not too bad, but will definitely need some body work. I’m about to check my deductible, but am I fricked on trying to recover any cost from this a-hole? Small claims court worth it? I’ve just never really been in an accident where the cops
were involved so I don’t know what to expect.