If i am not mistaken, the new testimony clearly says you can eat everything. but yes, if a jew eats pork, he is not a real jew (Although, judaism can be considered both a religion and ethnicity).
And in that particular case, the woman was preaching for hijab while maintaining her hate speech toward the western culture. so while you actually can pick and choose from the books, you can't choose the women oppressive parts, call out on the western attitude toward women and call yourself a feminist. that is a very very familiar trait that i see more and more happen in islamic social media in regarding to women, to freedom of speech, to freedom of thought and many other things.
"Men are the maintainers of women because Allah has made some of them to excel others and because they spend out of their property; the good women are therefore obedient, guarding the unseen as Allah has guarded; and (as to) those on whose part you fear desertion(committing a religious sin), admonish them, and leave them alone in the sleeping-places and beat them; then if they obey you, do not seek a way against them; surely Allah is High, Great.
—Qur'an , [Quran 4:34]"
Islam, by its creator definition, cannot embrace feminism.
And while you might not be a real christian, you probably wont be beheaded for that by other christians, which is not something you can safely say about islamic countries. just see how many muslim women are getting killed by their brothers or fathers in israel because they do not comfort to the real ways of islam. if its happening in israel, a developed western state, you can bet it happens in every islamic country and will happen in every islamic society. although, i guess in the other countries the people are so terrorized they can't even imagine going against their own religion.
My main point is that "freedom of speech" is sort of an intellectual entity (Not in the Intellecutal property context) and therefore should protect it self against forces that are preaching the exact opposite, even if by doing so they violate their own main agenda. just like a man has the right to defend himself, even while preaching non-violence.