When liberals were progressive and not regressive I would have somewhat agreed with you. Now they're progressive in name only. Remember, the conservative religious are fools because of the illogical god they're sure exists due to nothing more than sheer belief. But, progressive liberals know what's up, a girl can be a boy if only she just believes. Same idiocy, just different target fixation. Today the "progressives" are the regressives.
Well, I define progressives as people who can integrate opposites at a higher level of understanding and that is probably not how most would use the word. I would say the qualities you attribute to progressives apply not to progressives but to authoritarians on the left. I have no use for them.
But never mind that. The way I would challenge what you have posted here is to say that to be a boy or a girl and and think you're your the opposite and to accept there are those who feel that way represents a profound capacity to tolerate change and to evolve socially. Belief is a God that doesn't exist is old school and rote by thousands of years.
Imagine the scientific data that must be amassed to counter such an obvious conclusion that a boy is a boy and a girl is a girl. In order to understand that you need the statistics of math and an understanding of psychology and medicine. Again, these are skills open to the liberal brain and that develop via higher education and not well suited to conservatives who protect themselves from fear, the fear of change, of new ideas, reason, by the use of low level thinking. If everybody were conservative we would all still be in caves.
Also, I reject your liberal thinking regarding God, that logic and the lack of proof suggest he doesn't exist. Every progressive of the kind I describe knows that he does. He is a projection of human potential, of what we can become and were born to be and as such has great aspirational value. As above, so below, the mystics say.