I don't know, because my kids were born after their dad got sober.
FWIW, not every child suffers greatly from living with an alcoholic parent. I'd say every kid is better off with a sober parent than an alcoholic one, all other things being equal, but it doesn't necessarily scar them for life.
You are the one married to him, though. How does living with an alcoholic affect YOU? Your own feelings about it are valid to take into consideration.
Al-Anon can help you sort out your feelings about staying or leaving in terms of what's best for your particular situation.