"The only requirement for AA is a desire to stop drinking." Sounds like he's pretty entertaining! Can you try to look at it that way? Lol. Or you could look at him with pity. Have you asked your sponsor about this? He/she could answer this.
For the time being maybe you could go to a different meeting if he's really bothering you???
I always find it interesting when drunk people go to AA meetings. I've never understood that. If I'm drunk the last place I want to be is an AA meeting. Odd.