Ok, slightly more informed opinion:
Pretty much what I said before. The political institutions of Honduras had ruled his actions illegal. However, there are political and legal solutions to this and the military acting on its own (apparently the claim after a couple days that the military was acting on orders from the supreme court have iffy documentation and the supreme court doesn't have authority to issue such orders anyway) is never a good idea.
As for Obama supporting the wrong guy, you may think that, but he's hardly alone. Not a single single government or international organization
has expressed support for what the military did in Honduras.
To me the obvious solution is for him to be returned to power and for the national legislature to proceed with impeachment proceedings if those are warranted.