Since it's obviously connected to the subject:
I've had a debate with a friend, who's a Lesbian and a radical feminist. She doesn't believe in gender identity, and sees it as a social construct that doesn't change your sex, so she claims that while transsexual people should be able to do and behave however they want, it doesn't make them any less man/woman. According to her radical feminism, everyone should be able to behave however they want, regardless of their biological sex, but a man and a woman are who they are born. She also claims that transsexual women don't experience the same oppression, related to pregnancy, for example, as cis women.
I showed her the research, but she says that it's only a proof that gender dysphoria exists, not that it changes whether one is a man or a woman. I obviously disagree, and see her opinion as a result of the radical feminism and frustration about silly anti-lesbian rhetoric of some SJWs, like the 'cotton ceiling'. But in any case- what are your thoughts about that?
There's also the fact that this whole debate is basically a semantic issue. Pro-trans people think the terms "man" and "woman" refer to gender identity. Anti-trans people think they refer to biological sex. Since the terms "man" and "woman" existed for centuries before the theory of gender was ever solidified and no one before the 70s would have ever been able to explain modern theories of gender, it's pretty obvious who is literally right.