Catering to a population doesn't inherently means that you push for all of its beliefs.
Is any politician that supports Israel to gain support from Jewish voters pushing for Judaism or Jewish (religious) values? Do you think that Judaism, the actual religion, is any more progressive with say, feminism, than Islam?
Why does it matter? Wr are discussing religious groups in the US. The comment I replied to said that catering to American Muslims doesn't make sense if you are a progressive because Islam isn't. But somehow catering to Jews (which I know isn't just a religious group) is different. So I'm asking, do you actually think that Judaism is more progressive than Islam? Again, the comment I replied to explicitly said that the community somehow equals the religion and its beliefs.
And I don't know if women have it particularly worse in Turkey than in Israel. Same goes for gay people, though I'd agree that I'd rather be gay in Israel that in Turkey or any other Muslim country. Not sure why that matters in the context of comparing the religions themselves though.