See there is a difference between sex and gender.
One is biology and one is a social construct.
Trans people need to be supported and given every help in transitioning to their new gender without stigma and abuse. I do not believe anyone is in a position to make that decision until they are 16 or 18 and certainly no child should be even considered for gender transition no matter what the circumstance.
That said every support and counselling should be provided to ensure support and protection from abuse.
I will be honest, I have serious issues with the notion of self-identification without any intent to transition.
The idea that on a Monday I might feel like a Seán and on Tuesday I might feel like a Siobhán and both states need to be respected by the rest of society I do not get - the idea of gender fluidity seems to me about having cake and eating it because as an individual I should be entitled to whatever I want.
That leads to calls of transphobia all over the place of course. I don't think people have an issue with trans people, except maybe in sport - but they do have legitimate concerns about the nature of society which drives rights to an individual level in direct opposition to the societal good.
A guy I know from college is in the process of transition. Has changed his name or her name and will eventually be a she. That is a world away from whatever the mood takes you when you look out the window in the morning.