The difference is that every Muslim is a statist. It is the core of what their religion teaches. Sharia Law is a political system, and every Muslim must believe in Sharia Law, or they aren't Muslim. Many Catholics, on the other hand, are anarchists. For example Servant of God Dorthy Day has passed step one of three towards being declared a saint. She was an anarchist.
"The true anarchist asks nothing for himself, he is self-disciplined, self-denying, accepting the Cross, without asking sympathy, without complaint. The true anarchist loves his brother according to the new law, ready to die rather than compel his brother to go his totalitarian way, no matter how convince he may be that his way is the only way... Anarchism is personalist before it is communitarian. It begins with living a disciplined life, trying to be what you want the other fellow to be." Servant of God Dorthy Day