I'm really not sure how to talk about adult issues with someone who denies basic science like a child might.
What do you mean by "girl babies who grow up differently?" Do you mean genetic males?
When mentally ill people don't perceive reality correctly, the answer is not to promote their illness like you seem to want to do. That is harmful to them, and to society. Be strong. Be a man. Be willing to call a spade a spade.
I think letting a genetic male with mental illness that prevents him from seeing himself as he really is, compete in women's sports is mean to women, not fair to them at all, and also mean to those men, whom you are not only refusing treatment to, but you are pretending that their illness does not exist. Mean spirited all around.