I'm sorry to say thisisit, but based on what you have shared on this forum, there are multiple issues in play. Regarding the drinking, only YOU can determine if you are drinking too much or if you are an alcoholic, not HIM.
The relationship does not sound like much fun at all. I think the problem is the combination of drinking, him and the marriage and in my humble opinion, it all needs to get sorted out. I know you are on TV and he's a surgeon and that's wonderful, on paper looks terrific. In reality it sounds like hell on earth. I'd bug out asap, but I'm a guy.