I don't think muslims are fragile any more than they make themselves out to be - saying your fragile makes you fragile, only because you admit it. If you go forth and prove you aren't fragile then you won't be fragile. If you continue to play fragility, then you will remain fragile forever. It isn't a test of ego or shamelessness (although I'm sure many muslims wouldn't want to admit weakness even when emotionally showing it) so much as who has the right to intimidate whom.
If you consider the debate surrouding this then, to be blunt, its not the Muslims which are being 'fragile'. It was Muslims who initiated the protests, but its not Muslims bending to accommodate their ideological opponents even at the cost of deeply held beliefs.