Oh. Shit. That's one hell of a fuck up :(
Hanging up on him really wasn't a great idea. You are on no position to say you couldn't listen to any more 
You should call him back, tell him you are sorry you hung up on him and that you know it was wrong to have done so. Tell him how sorry you are that you did something so incredibly horrible. Do not call it a 'mistake', it's not, it was a stupid decision you made. Take ownership of it without excuses or blaming him.
Then say good night. Don't ask him to reconsider or anything.
Then think about what you want (do you want to separate from him or do you wasn't to do your best to salvage your marriage?)
Decide what you think you need to do and if you can do it.
Do you need to give up alcohol enyirelynor just stop bingeing!
If you need to give it up completely, then in the morning, ring your GP and get an urgent appointment.
Then ring AAA and find out where there's a meeting you can go to.
But don't do it to win your DH around, do it if you feel you need to.
Then ring your DH and ask him if you can meet somewhere neutral. Talk to him.
Good luck.