You just have not thought this through. In #28 I asked what the rule should be. If you say transexuals can use the bathroom of their identity rather than their anatomy, does that not mean that any man, dressed as a man, has the right to use and hang out in the women's locker room, shower, bathroom--if he claims to be trans? At the present time, if a man enters a woman's room, she will protest, be on the alert and leave if she is uncomfortable. But if men have the legal right to use it, how can she protest?
Your mental image is that he/she will wear a dress, so is that your rule--that trans women wearing dresses may use the women's room, but not otherwise? Even so, some rapists may choose to wear the dress since it gives them the right to get near the women.
Or will you limit it to certified trans people? Who will check the IDs?
Again, you simply ignore and brush away the concerns of the 499 women to 1 trans and focus ONLY on the concerns and wishes of the 1 transexual.