I am a man who is regularly mistaken for a woman. I don't try to look like a woman. It just happens, probably because I am quite short and very slight and I have a couple of kids in tow.
I do lots of traditionally female things: I cook and clean and look after my kids. I bake cakes. I don't do many traditionally male things. I'm self-effacing in person and I'm not terribly blokey. I have always had as many female friends as male ones. I post on Mumsnet. I grew up reading the Guardian in the 80s and 90s and was left feeling that rather disgusting about maleness, particularly male sexuality. This is just how I am. I've never felt I was in the wrong gender. I've always felt that if masculinity excludes me, it is because societal conceptions of masculinity are incorrectly restrictive. After all, I stand up to urinate like all other men.
I just do what I do and biology dictates that I'm male.
It is not my intention to mansplain. I say all this because it strikes me that I'm just the sort of person who would choose to change gender, particuarly is some well-meaning person had told me at an impressionable age that I should. The truth is that I have no intention of doing anything of the sort, and I think any man who does is making a mistake. First, he is denying an essential part of himself. That's not healthy. Second, there is no denying that it plays into restrictive gender roles. Otherwise there would be no conception of 'woman' to switch too. Third, where is the evidence that men who 'feel' female are subject to discrimination like women have been? It cannot be right for men who decide they're women to get a free victim card. Finally, I totally agree with what others up-thread have said about women's experience of reproduction. I hope I supported DW through hers, and I hope I empathised and supported her properly, but she went through it and had experiences that I was never going to have.
I do feel for men who think they're in the wrong gender. I'm sure that very many of them have a very tough time. I suspect that the way I am means I I have probably missed out on some of the privileges men get. However, the proper solution is for society to be a hell of a lot less prescriptive about what being a man or being a women actually means. The alternative, ie, men and women identifying with the societal construct they think fits them best is very bad for me, because it implicitly denies the biological reality of my being male. Checks down trousers to make sure it's still there - yes it is.
As for myself, I object to the term 'gender' (except in grammar). I don't have a 'gender'. I have a sex, which happens to be male. All the rest is just detail.