in my opinion, the drinking has to stop before they can deal with the underlying emotional issues. i don't think therapy whilst drinking will help...in fact, i feel that stirring up the hornet's nest and unleashing repressed emotions will fuel the drinking. this is becuase that's what they do with their pain, they drink it away.
first things first. and the first thing is the drinking.
i would also be hands off his recovery, other than perhaps pointing him to AA.
and remember, don't pay attention to what they say, pay attention to what they do.
i know those words he said are what you have been waiting for...for him to admit a problem and wish to seek help. however, saying it and doing it are two very different things.
try to stay focused on yourself and your baby.
naive