The thing with withdrawal is that once you've reached the point where you get it, the bar keeps raising for how much you need to drink (and how often) to prevent them. At least for me, the progression from where you are right now to full on disaster was much, much quicker than the progression up to that point. I never thought I'd be the girl who had to take a shot of vodka before an important meeting because otherwise my hands would shake, but I became her.
AA's just one way to get sober. You can find a way that works for you. It's so much better to stop before it really goes off the rails. And as they mention above, it doesn't have to be forever. You can try it out first.