In some they do. Much of what we think of as Mohammedan "culture", using the word very loosely, is really Arab and Persian culture. Things are different, in many but not all ways, in Indonesia, and sub-saharan Africa. There the Muzzie culture from the north was overlaid on existing tribal cultures. Some of those were pretty matriarchal.
It’s a well known fact that women have so many rights and freedoms in sub-Saharan Mohammedan countries like Rwanda where they still practice female circumcision.