Most religions put women down. Sure the JW's are a very 'good' example.
But look at Islam. Then a remove away, traditional or revivalist churches. Seikhism is maybe 'better' than Hinduism, Buhddism in theory very good (in practise, less so, but as with all excess of religion that is a cultural thing).
But it is hard to find a truly egalistarian religion, outside of some modern Christian viewpoints, maybe - and there might be others.
On the face of it it really looks like guys made god up to keep women down; or 'god' got turned into the boogie-man of patriarchal society. There's some belief early societies were matriarchal, good evidence that some cultures didn't sex-sort occupations.
But on the whole, women have had a hard time of it.
But then maybe men need all that bullshit to be in control, and now's the time to pay the piper?
Most intelligent woman who act like a women can run rings round most men as able as they are. That's the way it's meant to be in terms of sexual biology, and that influences gender interaction even when intercourse is not an outcome. Dress them in floor-to-ceiling clothes and don't let them show their hair or face or talk to another man... then you got some chance of keeping them down.
Fundamentalists aren't really afraid of the West. They're afraid of Western women, and of what life would be like if their women were like that. And some Christian denominations, JW included, have a similar fear.
But we got trouble too; contraceptive choice, priesthood, abortion -it's all about making women do or not do stuff.