Groups like the JIDF can have hate groups taken down from Facebook by getting enough people to complain using the site's feedback feature. FB doesn't seem to be prone to taking down the largest hate groups at all, and only when the hate is very acutely expressed in a group's title or charter.

Something like "We hate all F##### Jews and want them dead" would get taken down without much issue, but something like "Jews are bad because of Israel and Hamas are great" could avoid FB censorship, especially if it's very popular.

If breast-feeding is banned upon submission, it shows that there are resources to censor in real time. There aren't really any pure Muslim hate groups too, it seems, like there are Jewish ones.

I'd have to look into this further, but it does interest me.