I'm not going to use the men's room (where I'm way more likely to both be uncomfortable and make others uncomfortable) just because someone might be uncomfortable

Sorry, but when I read that and your other statements, the message I think you are telling me and other women is:

I am not going to use the men's room where I as a male who wants to be a woman am likely to be uncomfortable myself, and where I think I might make other males uncomfortable, just because some female people might feel uncomfortable and unsafe with males in women's restrooms. Because as a male, I believe that males have a right to not to feel uncomfortable ever, but female people do not have any such right - nor do female people have any right to safety, privacy or dignity, either.

Therefore, for the sake of my own personal comfort and the comfort of other members of my sex, I am going to use women's restrooms whenever I want. If this causes some women and girls to feel unsafe, uneasy, uncomfortable, intruded upon and disrespected - tough noogies.

If my using women's restrooms means women and girls from certain religions and cultures such as observant Muslims and orthodox Jews no longer will be able to use women's restrooms and thus will have no place to tend to their intimate bodily needs outside their homes, and they thus no longer will be able participate in life outside the home as they could until recently, tough noogies.

If my use of women's restrooms means women's restrooms become inhospitable and off limits to women and girls in certain life circumstances or dealing with certain female-only physical issues that cause women and girls to feel especially vulnerable and to really, really need privacy from males - such as menstruation, pregnancy vomiting, pregnancy hemorrhoids and rectal bleeding, post-birth or termination vaginal bleeding and clotting, heavy vaginal bleeding due to fibroids or menopausal flooding, miscarriage, leaking breasts and amnio fluid, urinary and fecal incontinence due to aging and a history of childbirth, cystitis, vaginal yeast infections requiring application of medications, disrobing to wash off bloodstains, breastmilk and baby vomit from their clothing - tough noogies.

If women voice their objections to me and other males using women's restrooms, I will tell them

it's just how things are.

And as the coup de grace, I will add

It's allyship.