The premise of your essay is deeply flawed... SOME Muslims are offended by depictions of Mohammed. OTHERS are not and see a looser standard as part of a generally more tolerant and functional environment in which to worship.
So if you were to refine your premise a bit and more strongly acknowledge the struggles WITHIN Islam, the decision of how the "rest of the world" ought to behave starts to get rather murky. Cultural is probably way more permeable than we all at first imagine.
I'm afraid you've tripped up on a stereotype whereby "Muslims" march lock-step in antipathy to "everyone else"