YANBU OP. Even if we shared the belief that these people have a female brain in a male body, sports are segregated because of those physical differences in the body, not the brain.
Seeing the comments on here (which overwhelming seem to agree) has made me think back to a post I have been repeatedly seeing on Facebook.
I play a few different sports and, recently, I have been seeing a story about a 'transwoman' in one of these sports appearing high on my newsfeed - very pro-trans article about how brave and wonderful they are, how they've overcome such adversity to now (surprise, surprise) be a star player among all the biological women in the sport, how everyone loves and supports them etc etc.
It isn't from any source I've 'liked' or 'follow', it doesn't say that any of my friends like this source and it has been appearing repeatedly (like about a dozen times across different days) very high in my newsfeed (obviously picking up the fact that I like this sport and reference it/follow other pages related to this sport on Facebook).
It is clearly a sponsored, targeted link that Facebook is being paid to promote to people like me - so the trans lobby must think that sport, rather than being one of areas where people will draw a line and see sense, is a way to win people over. The comments on the post seem to be fairly evenly split between 'how brave/wonderful/inclusive' and 'this is crazy and unfair to women'.
I don't really understand how people can not see how unfair this is but then I think back to some of my experiences and some people's views of equality.
E.g:
- One sports club I help run was (after receiving funding) asked to provide equality data for participants (e.g. sex, ethnic background), one of the (white, male) organisers was up in arms about this saying that it was discriminatory to ask, that we as a club don't 'see' race/sex and that we treat everyone equally by not noticing race/sex.
- I can see in various sports I have been involved in how things are organised (unintentionally) by men in a way which works best for men and disadvantages women and some of them have low participation rates for women. When I have tried to raise this in local clubs and suggested improvements, I have been told things like 'but it's not the case that all men are strong/tall/good at x, women can be just as strong' etc and basically make an argument which makes them sound very progressive, that women can do anything they put their mind to, just as good as men, while ignoring the physical differences and the reality of the situation and that women clearly are being deterred from participating in their club.
Sorry - probably a slight tangent there but, in short, I think some people have a misguided view about 'equality' and 'progressiveness'.