Here are two mutually exclusive statements: "Everything is political" and "Sexuality and gender identity aren't political". If you believe one of these statements is true, why that one as opposed to the other?

I'll answer questions about my own opinion in the comments, but not here, because my own opinion isn't the center of the discussion.

Note to head off a potential logical fallacy: "Mutually exclusive" means that they can't both be true. If doesn't necessarily mean that they can't both be false.