I don't know what it would be like as I've never been to either kind of social group, but I think it would be interesting and I've been wachting this thread for a bit, hoping someone would be able to answer.
I think there'll probably be some overlap, as I'm officially Dx Social Anxiety but I'm pretty sure I have AS and there could be other people in that group in the same position, but as to if its a small overlap or a large one I've no idea.
I think it's a good idea though, and hope you have fun.
Maybe once you go you could come back and tell all about it?