I’m of two diametrically opposed minds on this.
On the one hand, I totally agree—have always agreed—with the sentiment expressed so well by @Trillian above. Although I have no support for any religion, I don’t openly mock any, either. So I would never draw or say anything with the intention of mocking the tenets of any religion. I may argue strongly against religion, and I do mock people’s beliefs when they are arrant nonsense, but I try hard to avoid open mockery or belittlement.
However…
I believe even more strongly in the freedom we should each and all of us have (around the world; this isn’t a “Western” or “American” ideal only) to say what we think… even when that crosses a line into rudeness, crassness, boorishness and worse, as long as it is short of “fighting words” and threats against an individual.
So, for example, I would never burn a Christian cross on my neighbor’s lawn. He’s a black man, and even if I detested him (I don’t; he’s a lovely neighbor and I wish I had more like him) that would be perceived as an open threat from me against him. That would be a “fighting words” attack, and could result in a direct assault against me. I understand that.
However, if I were to turn a cross upside-down on my lawn, or mount a mockery of a Virgin Mary statue in an alcove (we call them “Bathtub Mary” sometimes), and dress her in a bikini or less, then that would be a rude and boorish insult to Catholics. I might expect a rock through my front window some night, but I wouldn’t be burned at the stake for blasphemy. As insulting as my behavior would be, I know without question that I’d be free from direct action by the Catholic Church.
And since I am not a Muslim, I don’t think that my actions against Islam, should I take any, should be perceived as blasphemy. Otherwise, just think of it: we’d all need to know the detailed taboos about each and every world religion and avoid them all in order to escape persecution from any member of any religion. I don’t know enough about Hindu, Sikh, Buddhist, Shinto, Zen or any of the various African religions whose names I don’t even know… much less Christianity, Islam and Judaism.
I don’t want to insult religions or religious practices, but I’m damned sure (pun intended) that I’m not going to study them all to avoid offending members of any of them.
Plus I’m the lousiest artist you can imagine. (This is why I try to be good with words and use so many of them, because my pictures aren’t even worth ten or twenty words on a good day.)
So I’m not going to draw any cartoons of Mohammed, because… you wouldn’t even be able to tell. (And I don’t have any particularly funny ideas about the topic just now, which is probably even more fundamental.)
But I enjoy cartoons; I have a good and broad sense of humor, and if there are funny (or witty, or philosophically interesting, etc.) cartoons that I find I will certainly enjoy them, as I did the ones the Danes published years ago to start this bouhaha.
You have the right, and for whatever it’s worth my defense against violent retaliation—but I hope that people won’t be jerks about this and just be insulting for the sake of being insulting.