Don't overestimate that. Plenty of large Muslim countries - Indonesia, India, Pakistan, Bangladesh, to name...Gee, 4 out of the 5 countries with the largest amount of Muslims in the world - have been led by women. Certain interpretations of Islam put women down and want them restricted, confined, reduced to nearly sub-human - but so do some interpretations of Christianity.
I do agree with what you say, otherwise, but I didn't want to let that slip by. The idea that Islam is somehow by definition less pro-woman than Christianity is frankly nonsense. We're letting our view of "Islam" bez determined far too much by Saudi Arabia, Iran and, more generally, the Middle East.