They actively avoid such realizations and perform mental gymnastics to explain how, for instance, the hijab is actually a symbol of female "empowerment."
A couple years ago I chaperoned a civil rights pilgrimage down South. There were a number of LGBTQ students on the bus and I didn't have the heart to tell them how many of the black folks they were meeting along the way are absolutely opposed to homosexuality and how strong of a reaction they have against likening gay rights to the battle for racial equality. That was naivete and genuine ignorance on their part, in contrast to their relationship with Islam. They've grown up with militant Islam.