Nobody can predict, with certainty, when an alcoholic will decide that s/he has had enough. Many go on for decades before they are ready to stop; many never are.
Many will say, "I can't do this without your support." That's a load of malarkey. I've been sober for seven years without the assistance of a partner. My first husband will celebrate 36 years of sobriety in a week or so--HE got sober during a time when I'd had enough and took a break from the relationship. If he WANTS to get sober, nothing will stop him.
The violence is another story. You need to look out for your own safety--physical, emotional, and otherwise. Right now he is showing no interest in quitting drinking. It isn't safe for you to hang around waiting for the next binge.
Please hook up with an advocate--they can help you with safety planning and with a protective order, if necessary. I've worked in the DV field professionally for a very long time, and an advocate can help you assess how much danger you are really in. I've seen situations like yours take a tragic turn.