That video had nothing to do with anyone being killed. It was an excuse used by the mob to justify their desire for murder and violence, so they would not appear as complete savages.
I've watched that video, and the worst I can describe it is with words: "silly" and "amateurish". It wouldn’t even pass the litmus test for the type of speech that incites violence.
It’s clear that those people were egger and willing to kill Americans and Westerners long before this video was made.
> so I don't think it's unreasonable to ask
It's completely unreasonable to ask the American people to throw out parts of the Constitution to try to appease clearly incompatible religious and juvenile groups half a world away.