Identity politicking is very different from having things that identify yourself. I hate identity politicking because it is the broad case of "here's a label, now we're going to enforce everything that we think it means onto you." It's the broad case of why I also dislike identifying as a gender. I doesn't mean that I don't have an identity, just that I dislike having to label myself, and especially to label myself depending on physical attributes. I realize that humans prefer convenient labels because we naturally associate and extrapolate data based on past experiences, but I really do wish that there was less of this "everybody who is Label X has to behave in A, B, C, ways" going on.

"the identity you claim is bullshit, because gender qua gender is bullshit."

I think I have been interpreting the "gender is bullshit society made up" phrase differently than you have, which is why we're both arguing the same point from but still thinking that we disagree with one another. Let's rephrase what I believe: "the idea that gender is binary, related to your biological sex, non-fluid, necessary to identity, and must be enforced in order to operate a stable society is bullshit." Can we come to a consensus on this? That should resolve the "why do trans people exist?" and subsequent questions. Gender can be inherent. But it isn't with everybody, and I REALLY GET ANGRY when people automatically assume that gender is a part of my identity.