How this might attract women, I've no idea - unless of course they subscribe to the 'dominant' male ideology.
I think that's because many Muslims don't follow that kind of creed. I'm off to the dentist this afternoon. My dentist is female and covers her head completely. I assume she's Muslim. I've seen her qualifications, so presumably she wasn't prevented from having a good education.
My daughter's Muslim mother-in-law most definitely rules the roost in her household. Her husband has a UK degree and has always been employed, but she is the one who set up a business with branches throughout Manchester, which enabled them to send their three children to independent schools.
My daughter's own husband is one of the most easy-going, sensitive and thoughtful people you could ever meet. He was brought up as a Muslim, but now says he has no faith, although he still recognises his Arab heritage. My daughter is the boss in that household.
The above is what happens. Over the years people do integrate. If my daughter has children, it's likely that they will have some Arab physical features. They will probably be "labelled" as Muslim, even though they will probably have Mancunian accents and come from a very British household. If their father had been of European heritage, they would have European features and their heritage would probably be forgotten completely after a couple of generations.