Senoufou:
I have some experience of Muslim societies, and as you say, it's oppressive. The whole community trundles off to the mosque at dawn

Not in Turkey or Bosnia they don't. The majority Islamic tendency in the Balkans (and about 25% of the Turkish population) is Alevi/Bektashi or similar and they don't go to mosques at all.

Your experience is of parts of Africa where Islam has had to adopt some of the most repressive aspects of feudal animism for the sake of maintaining the pre-existing class structure. African Christianity is often pretty brutal in the same way (and just as enthusiastic about exporting misogyny and homophobia to the rest of the world).