The Right to Satirize
My response to this nonsense is to wonder why Muslims don't grow up. If your co-religionists are going to take political stands, and blow up innocent people in the name of Islam, political cartoonists are going to occasionally take satirical swipes at your religion. Those swipes may not be nuanced, but they're what you can expect when you live in a free society, where you, too, can hold views others find offensive. If you don't like it, move to Saudi Arabia. Or just try to peacefully convert people to Islam. As Fred Barnes points out, the current cover of Rolling Stone is offensive to (hypersensitive, paranoid, publicity-seeking) Christians, but they aren't threatening anyone with physical violence. (Here's an article on that.)
All of which is really just a lead-in to a plug for Jonathan Rauch's excellent book Kindly Inquisitors.
The Fox News report from which the image above is taken is here.