Hate seeing the words 'man' and 'woman' misappropriated to create a "gender identity", when they're just the human equivalent of stallion/mare, lion/lioness, dog/bitch. Nothing to do with the concept of gender, everything to do with being any easy way to reference your species, reproductive sex, and maturity.
These words don't imply anything about internal feelings, merely physical reality. It's society that has created "gender roles" by dividing up the huge spectrum of human behaviour into a binary between 'femininity' and 'masculinity', and associating each binary with a certain sex, thus creating the whole idea of "gender".
All behaviours belong to both sexes, so gender is oppressive and useless.
The fact is that being an adult human male/female (there are only two sexes, intersex is a birth abnormality/chromosomal disorder that doesn't negate the sex binary) is what makes you a 'man' or a 'woman'. Biology, not the social constructions surrounding these biologies.
However, you don't have to be the "feminine woman" and "masculine man" that society expects you to be, so to say someone is 'Cisgender' and the other is 'Transgender' on the basis that their human behaviour conforms or non-conforms to society's gender ideals for their sex, just reinforces the lie that certain behaviours/feelings/fashions belong on certain bodies.
Without gender, none of this would be a problem - there would be no Cis/Trans distinction because there would be no expectations of femininity or masculinity placed on you at birth, so the idea of having the wrong/right body to represent your inner feelings wouldn't exist.
That's how I feel about 'gender identity' politics, anyway.