Some do.
Some do.
No. I believe individuals think differently and that lumping people together by sex, gender, race, religion, nation, etc is just someting people do to make the world seem neat and ordered in their minds. Our brains seem to do it automatically and it probably served a purpose once, when we were more primitive. But it is counterproductive now and entirely irrational.
I believe a transgender woman is a woman and a transgender man is a man. I don't believe men and women think differently outside of cultural conditioning. For example, how can you think of a tomato in a male or female way?
When it comes to gender I'll admit that I don't quite grasp the concept. How can anyone feel female or male? I'm me and my friends are my friends. Gender is there but on the periphery like what colour our eyes are or our hair.
But some people in this world seem so determined that a born male is a drastically different creature than a born female despite only really having genital and slight hormone differences so there must be more than just the physical. I think.
I mean, how does having a penis or a vagina really affect who you are?
So I'll let each individual figure out who they are. Telling them they are wrong is too much like telling a gay person that they are just confused.
I really do hope this helps. It got a bit long and rambly