And you've flip-flopped again.
I think you're confusing disrespect with critical analysis (not referring to Voltaire here). More to follow...
Except that's not the order that history went in, at least AFAIK.
IMO, when looking at the history of Christianity versus the rise of civilisation in Western nations, two very basic things occurred: When a power that draws its influence from the immaterial confronts a power that draws from the material (eg. people with money, resources, technology), the latter will eventually win out over a long enough time span.
The second being that Christian leaders realised that it was them who looked like arseholes for locking up educated people who dared to air theories that challenged their beliefs.
Back to the present - I don't think there's any question that Islam has some problematic elements, but those need to be challenged from within, with examples of a better way from outside. The reason why can be found with modern Christianity: Many American Christians actually believe that there's a "war on Christianity", possibly for two reasons, the first could be called "Christian privilege" (ie. they want to fight back against the steady waning of their influence), the second possibly being simply disrespect. It might be the case that the disrespect generally happens when they do things that aren't worthy of respect (e.g. making policy changes to how science is taught by ensuring that their own supporters are the only ones with a say (or deciding say) on the topic), but that doesn't change things in their opinion, because they're doing "God's work".
If especially women from predominantly Islamic nations can see that their freedoms are respected and their views are tolerated outside of those nations, then they will likely start asking pointed questions at home about why they must bear the brunt of "man's limitations". If however they see that outside of those nations while they have more freedoms it must be that they're seen and not heard, then it's reasonable to assume that they might view it at best as "give and take" (e.g. they get to wear what they like, and accusing someone of rape does not result in the accuser getting stoned to death, and what's taken is likely a very important facet of their life, their religious belief). Or at worst as almost prostitution, ie. they're showing flesh in exchange for other freedoms* and at the additional cost of their religious belief. I wouldn't be surprised if many Muslim women who hold their beliefs strongly would rather put a bullet between their eyes than do something as sinful as that.
* - and considering cases like Brock Turner or the Steubenville rape case, it's hardly as if America is seen to have reached the pinnacle of justice and balance with regard to crimes against women, so Muslim women might see that as a dubious and uncertain benefit.