I'm not sure the problem was entirely that the cartoons depicted Mohammad, but that they depicted him with a bomb for a turban. It's quite different to make a joke about religion using Mohammad and to unsubtly and unfunnily say that Mohammad was a terrorist, all the while drawing parallels between different ethnic/religious costume and terrorism. Put another way, there's a huge difference between these two:
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Interestingly, I found both of those from googling 'Jesus cartoon' and 'Mohammad cartoon': there's a level of aggression and hatred in the second set that you don't really find in the first. The problem isn't just that the cartoon has Mohammad in it. Would there be terrorist attacks as a result of cartoons of Mohammad that looked more like the first one? I don't know, but severely doubt it: where we've seen attacks on cartoonists, the cartoons have always been in the second camp.
Well, in all fairness, the Jesus character is a much less violent type than the Muhammad character. It's somewhat hard to find any violence to mock Jesus for.
Among the twelve initial cartoons, there is a variety of different types of cartoons.
And I don't think that the depiction with the bomb in the turban is especially egregious. Lots of symbolism, sure, but it's not racist or hateful. The artist drew him in a way that might have resembled him (including typical headgear for the time), and included a bomb in the hat. Seeing as he was a religio-political leader and has followers some of which have used violence and suicide bombers, I don't find it inappropriate. The bomb could also be interpreted to something about "explosive ideas" (though no one cares for that interpretation, apparently). Several of the other cartoons are quite mild, and not even directly mocking Muhammad or Islam.
And let's not forget that the imams who went around the Middle East to rile people up, included other pictures which had nothing to do with this publication, and claiming those were also supposed to depict Muhammad. Like this one from some French competition:
Such actions seems to indicate that any particular attributes of the cartoon might not have changed the situation.
And again, this whole debacle started out with a writer looking for an illustrator for his children's book
The Qur'an and the life of the Prophet Muhammad. Asking for an illustration of Muhammad can't really get much more benign than that.
Finally, while I can't find any directly violent cartoons of Jesus, do you think any of these would have fared better, the same, or worse if we exchanged Jesus with Muhammad?
Stop expecting to be able to outsource your Islamophobia onto newspapers and go poke the snake yourself guys. Take on some of that risk you want shared.
I'm not expecting anything. Why does it continuously seem like our arguments get twisted into some demands about what we require other people to do? We're simply arguing that another course of actions might have been a better way.
And while I don't have any publishing houses of my own, I am quite happy to discuss this with people, and trying to change minds that way. I discuss here, and in real life. Sometimes even with Muslims.