They can call themselves whatever they want it is totally their choice but dont try and get me to think a man in a dress is a woman because that will not happen.
A man has a big advantage over a woman when it comes to physical prowess and no amount of trying to say a woman is as strong as a man will convince me or I would think any other man.
If the transgender want to compete then have a category for them and let them compete against each other, no problem.