I'm an atheist. I do not hate people who believe in god/s. I disagree with them about the existence of gods. I don't mind them going to places of worship or reading religious texts. I certainly don't mind them living their lives peaceably with their religion.
If they were to campaign against say, abortion rights then we'd be on opposite sides of a campaign. But I don't want them to not exist or not be allowed their religion etc.
I am gender critical. I do not hate people who put store in gender identity. I disagree with them about the significance of gender. I don't mind them living their lives peaceably with their gender identity.
If they were to campaign against say, single sex spaces for women then we'd be on opposite sides of a campaign. But I don't want them to not exist or not be allowed their gender identity etc.
It is not hate to believe that because single sex spaces and sports are about our bodies that they should be segregated according to biological sex (objective, verifiable, permanent etc) and not gender identity (subjective, fluid, unverifiable).
If someone feels their personality is more stereotypically feminine than masculine and want to present more in accordance with that, crack on. Absolutely don't be restricted by outdated sexist stereotypes. But they don't get to dictate that other people should flawlessly perceive them as the opposite sex or that they should suddenly be allowed into single sex spaces designated for the opposite sex.
Because they haven't changed sex.
Catholics shouldn't donate communion wine to the blood bank. Sometimes reality matters more than metaphor and belief.