A theocrat is a theocrat, whether Muslim or Christian.

Here is a good article by Juan Cole that is definitely worth reading:

Sept. 9, 2008 | John McCain announced that he was running for president to confront the "transcendent challenge" of the 21st century, "radical Islamic extremism," contrasting it with "stability, tolerance and democracy." But the values of his handpicked running mate, Sarah Palin, more resemble those of Muslim fundamentalists than they do those of the Founding Fathers. On censorship, the teaching of creationism in schools, reproductive rights, attributing government policy to God's will and climate change, Palin agrees with Hamas and Saudi Arabia rather than supporting tolerance and democratic precepts. What is the difference between Palin and a Muslim fundamentalist? Lipstick.