Galaxy Do you believe that allowing people to self identify will lead to more violent crime?
I ask because there seems to be a suggestion in the argument ( the argument, not necessarily your argument) that should society become more accepting of self ID re gender, that somehow, already violent and aggressive men will don female clothing, self ID and invade women only safe spaces. Given that those spaces are already and will continue to be protected by law, for those of us who accept that trans women are women it's hard to see that there will either be an erosion of protection, or an increase in violent crime against women.
In answer to your question (speaking for myself and not everyone as I don't want to sound lofty) and using said males as the same example - Eddie Izzard describes herself as she and identifies as gender fluid - she/he ( specifically EI does not get hung up on pronouns, I checked) does not have any criminal history that I am aware of that would lead anyone to believe that she would progress to violent sexual crimes against women to exercise power and control. She is typical of most people in her position. Jimmy Carr presents as a male and I'm not aware that he uses alternative pronouns. Again, to the best of my knowledge he has no criminal record, or pattern of behaviour that would suggest he is likely to carry out a violent crime against a woman. Again, I would suggest he is typical of most of the people in his position.
Therefore in my opinion it's not the gender ID or biological sex of a person that suggest they are or will become a danger to others. My stance is that the reason more men attack women than the other way around is almost entirely because of the way men are socialised. The 'almost' is because there can be physical brain changes, but to the best of my knowledge those are no different to the changes that could occur in a female brain.