I think that you need to remember something: the west has an huge tradition of using cartoons to make points. You can see this in cartooning about the British Monarchy from the Hanovers (beginning in 1714) all the up to the present monarch, Queen Elizabeth II. Some of them have been wickedly funny, and very unflattering the monarch.
The problem is, Muslims do not appear to have such a tradition (for so long, not even using pictorial representation in decorating their public building, like the Alhambra and Generalife in Grenada, Spain). It is also true that the Judeo-Christian world has a bibilical injunction AGAINST any sort of pictorial (graven) image, which they ignore totally.
Unfortunately, when two quite different cultures clash, there are few ways to get past some of the major differences -- one culture can simply give up its own traditions (in which that culture dies), they can fight it out (which could result in one or both of them dying, but usually just costs a lot of lives), or they can live their own way while having the grace to let the other do exactly the same. Thus, for Muslims in the west who think that cartoons of prophets (or of Jesus, which are all over the place) are bad -- then they ought not draw them. But why worry if somebody else, who doesn't share that religious prohibition, have to follow suit?
It is, by the way, always wrong to move yourself into another culture -- and then insist that culture change itself to suit you. If you don't like what's happening in Turkey, you'd be daft to move to Istanbul. If you don't like the French sense of humour, then stay the heck out of Paris -- it's full of French people, you know.