Some artist draw him with a beard, some don't! I think he should switch it up a bit. Sometimes he needs to go with an epic beard, sometimes he needs to go clean-shaven.
If I could make one change to the 616 Thor, I'd give him the Ultimate Thor's Mjolnir. I loved Bryan Hitch's design for the axe-hammer in Ultimates. That would be one of the best changes in AvX. Forget the rebranding of all the books, Thor's current hammer breaks and he gets a Bryan Hitch designed one!
Are the writers going to do anything with the whole "Thor's life is now tied to his hammer?" I don't think I liked that idea very much.