It's strange how saying "men are men and women are women" is considered transphobic. If you really think TWAW and TMAM, then that statement would be true. You would only think there was something wrong with it if you think TW are men "being" women while still also being men, and vice versa. Which I thought was was you're NOT supposed to think.
As for there's nothing in between, well there isn't. If this guy has a problem with that statement, then he needs to prove what is "in between" the sexes, with clear evidence.