I have been 100% sober since birth, and the only person who has ever reacted negatively to that is my father, who is a wife-beating, alcoholic, sh*twad anyway.
Whenever a girl asks me if I drink I usually act a bit disgusted and turn it around on her. She goes straight onto the defensive and tries to downplay how much she drinks, when I know damn well that she was about to try and tell me about how drunk she was last night.
I'm in a long-term relationship, but every so often girls come along to try and win me for themselves. The first thing they usually do is "give up" drinking. They go straight back to it once I tell them that I'm not interested.
So yeah, portray it as a positive thing (which it is anyway) and that's how people will see it. Good luck dude