I don't have a problem calling transgendered people a man or woman after their surgery...because they are one both in body and mind at that point. But before that, when i see someone with a man's face, muscular, with hairy legs, chest and arms, flat chest, mustache or beard, manly voice and i know there is a penis and testicles down there... it's hard to call him(fine... HER) a woman, even if they think they're one.
And if you believe i'm factually incorrect for thinking like that... well there is a lot of "factually incorrect" people in the world then. No one i know, be it family, friends or coworkers would see someone like that and say "She is a nice friendly woman." Good luck trying to break that way of thinking of the general population, you got a lot of work to do. I wish you luck.
I'm not trying to be an ass when i say this, it's just how most people see it.