There's several responses of value in this thread, even if the simple question asked in the OP is going to be touchy for many.
Arguably the Christian-secular west only passed the Islamic world in gender equality issues as recently as 1920 or so. Even then social norms were not super divergent until after the sexual revolution in the west.
As others have said - many manifestations of gender equality face resistance everywhere, not just majority Muslim countries. Elements of the sexual revolution have penetrated majority Muslim societies, even if there is a strong backlash against it.
I suppose one could scope the challenge more narrowly:
AHC: Have objections to male-female coeducation be less politically salient & draw less of a violent backlash in Muslim majority countries by 1990, such that there's no perceptible difference between western and majority Muslim countries in those regards.
There's plenty of violence against women and misogyny in the west and the Islamic world.
Yet there are clearly some ways in which the "normal" level of these is different in different societies.
Things that stand out as different are:
Regardless of the passion that some religious conservatives have in the west for gender-role differentiation, and the nostalgia they may have about pre-sexual revolution mores, hardly any actually violently punish their daughters or family members for stepping outside those roles. The vast majority don't disown or shun them either, but come to some type of compromise with the new reality they encounter.
Although "jealous boyfriend" or "jealous suitor" violence is common worldwide and in the west, I think that physical enforcement and retribution against women for violating gender norms has more "community endorsement", legal endorsement and clerical endorsement, and involvement, in majority Muslim countries as opposed to non-Muslim majority countries. Old geezers who have no personal prospects of romance with the women in question get passionate about in Muslim communities compared with non-Muslim ones.