If he does, he manages his social anxiety much better then most.
I live in the USA. Mr. Moore helps fund the local Film Festival close to where I live, and I have met him on occasion.
I wouldnt have thought that he has AS, but he does seem to be very sympathetic, and dare I say it, Empathtic to auties and other people who society deems strange or unfit. He is very friendly IRL and is willing to talk, sign autographs, exc.. I know that he attends the local movie theater, and has a normal life outside of his fame.
You wouldnt know it from his films, and interviews, but he is a very honest, very friendly man, who IMHO uses his fame to try to find answers to some puzzling questions. (and lets face it folks, if he didint spice it up, the people would never listen to what he has to say).
so no, I dont think he is, However, If he is, I believe that He is the type of person who would keep it to himself.
And I respect him for that.