My mum was an alcoholic (she died a couple of years ago.)
When she first began attending AA meetings my dad thought they were a place for alcoholics to meet and drink, she came out drunker than she went in.
It's not the meeting itself, neither is it his sponsor.
They can't stop him from drinking. You can't stop him. The kids can't stop him.
The only person that can stop him, is him. He needs to want to. Until he's reached that point, he won't stop.
My mum was an all or nothing drinker. She'd be a few months sober and then go on a huge 3 month binge of non-stop drinking. The most damaging advice she received was from well meaning but clueless GPs, they told her to cut down and stop her drinking bit by bit. She physically wasn't capable of that, she had to go cold turkey or there was no hope.
We had her in AA, on a separate 12 step program, she had a sponsor, we put her through a private withdrawal program, paid for her to go into the priory (just for her to walk out 4 days later.)
She just didn't want to stop. She continued the binges to the end.
I miss her everyday (I really, really do - when she was sober she was the best mum a person could ask for) but the memories of her drunken, violent, abusive outbursts will stick with me forever.
For your MH and the sake of the kids, consider leaving him. It won't get better until he opts for recovery, he may never choose to do that. But you can choose what's best for you and your kids.