Most people are not on-board with that at all. Most people also feel you can do whatever, including be a man or woman if you so desire, but the whole ideological stuff surrounding that: yeah ... not really. This includes many progressives on the left.

The entire concept of "treating me as a {man,woman} and also agree to my particular ideas about sex and gender or otherwise you're a hateful bigot!" is quite remarkable. It's like "you must agree with my preferred theory about the origins of homosexuality or else you're homophobic!"