Ok first off nobody should have laughed at you. AA is a place of support so even if someone has ended up in the wrong place, laughing is a really bad idea because it could potentially put someone off asking for help again when they so obviously need it. And, seriously, it's not a myth when they say that's a HUGE step. So many people just can't bring themselves to say they have a problem with drinking. Well done to your DH for taking that step.
Lots of alcoholics started as binge drinkers. It's a slippery slope. The time that passes between each binge gets shorter and shorter and descends into what we traditionally recognise as alcoholism.
AA works towards getting people sober so there's no real room there for binge drinkers. According to them, you belong there if you want to get dry. If your DH feels he isn't dependent on drink then he would have no place in AA. If he wants to stop drinking, they can help.
There are of course other ways to stop drinking. I went to a couple of AA meetings but found that its ethos wasn't for me. That said, I think it's an incredible life-saving organisation and the place I recommend as the first port of call for anyone who wants to stop drinking.
I'd ask you to consider something. If he needs help to stop binge-drinking, how can he think that he doesn't have a drink dependency problem? If he didn't have a dependency issue then surely wanting to stop would be enough to make him stop. If it's not enough and the binges keep happening, doesn't that mean there's a dependency?