@HowardTJMoon
"But at the same time the trans people I've met and know seem a million miles away from the ugly stereotypes that are bandied about. Just like the anti-gay stereotypes I saw in the 80s didn't match up with the gay people I knew."
Women feel they are being told to accept people with male genitalia into their spaces. People who can call themselves "women" based only on a piece of paper and nothing more. You must have some idea of the statistics for rape, sexual assault and domestic violence against women and girls and you hopefully also know that it is always at the back of a woman's mind. Do you know the percentage of successful rape convictions and what is entailed for the victim?
Something as simple as a male jogger running up behind a woman will make her fear the worst. It is what we live with on a daily basis. For god sake, even the police force is rife with mysogyny, vile sexism and sexual assault. We have nowhere to turn. As a man you cannot understand that any more than a white person would know what it is to be black.
As a woman I do not want to share an intimate space (changing room, hospital ward etc) with a stranger with male genitalia and to get undressed in front of that person. Do you think it is fair to sweep aside such fears and tell us to put up and shut up without any debate, consultation, explanation - nothing?
Finally I think you are wrongly conflating gay rights with trans rights. Gay men did not want to share women's spaces, be treated as women or call themselves women.