It is interesting that someone like Sandra Fluke, speaking out in favor of women's health, rather than having her Freedom of Speech defended, gets called a slut (and all sorts of other names) because some people wrongly perceive that as an attack on Christianity. Meanwhile the same cadre of name-callers will turn around and say that condemning this 'movie' is an attack on Freedom of Speech and American values and all of sudden be completely uninterested in defending Religion (because Islam of course doesn't count to them).
The reality is that interests and rights are separate, and sometimes, competing ideals. Yes we value Freedom of Speech. We also, supposedly, value Freedom of Religion. We can debate the relative value we should give the rights of the movie maker (Speech) versus the rights of a billion Muslims (Religion), but the point is that the world is a complex and nuanced place which requires adults in the room, not children who see the world as a black and white Mickey Mouse cartoon.
Even so, I really am not sure what Obama supposedly did wrong in this case. Unless I missed something, criticism of the movie came from the embassy before the attacks even happened. Not from Obama. Being that diplomacy is about getting along with others, this would seem to be the responsible position to take for an embassy in that region of the world.
The problem is that Romney is one of those children that sees the world in stupefyingly stupid and simplistic terms. We tell you how things are. If you don't like it tough. If you protest we put a gun to your face. If you don't back down we shoot you. We are the best in the universe. You are not. We do what we want, how we want, where we want, when we want. Etc. It is this arrogant, dismissive, naïve, simplistic, and ignorant attitude for which so many in the world (rightfully so) dislike America.
As for what Obama actually did, it seemed to be everything you'd expect a President to do. Romney, on the other hand, threw out a wildly wrong accusation. We can speculate as to why, but even with knowing he was wrong, there has been no retraction or apology. In this particular case, Obama looks ten times more of an adult and a leader than Romney does. Anyone who automatically equates dialog, discussion, and compromise with weakness and appeasement is a very dangerous fool. We have had more than enough of that brand of stupidity with Bush (who by the way had 12 embassy attacks during his terms).