That's the problem with this plan. It doesn't recognize the degrees of antagonism involved. It posits that there is "being OK with cartoons of Mohammad" and "being so not ok with those cartoons as to be incompatible with civilization", and excludes the vast middle ground.
Or, to the extent that it acknowledges that there is a middle, it posits that any social or cultural price is worth paying to demonstrate that we can't be pushed around by a tiny, virtually powerless minority whose actions aren't in any way influenced by these cartoons anyways.