Rethinking your world view is a lot I know, and you've chosen an interesting place to come and do it! Genuinely bravo if you're really trying 🙂
Yes, I think what you posted about dysphoria matches my feelings to. Obviously I'm going to have a different view to many on this forum, but basically I do believe dysphoria can be a persistent and debilitating mental health condition in some people. My transition was a treatment for that condition, but I never believed the whole "we're really just women in men's bodies" idea. I tried to go in rationally because I do believe the truth is very powerful and liberating.
So what I accepted, from the outset actually, is that for whatever unfortunate reason I'm a man with gender dysphoria. That sucks, but it's the truth. I don't blame myself for that, I don't know what caused it; it is what it is. "Transition" is a series of medical tools (hormones, surgery, ...) by which some people can 'treat' some of the feelings towards the body by adjusting that body. It's a hell of a choice to make; it sterilises us, it weakens us, it has all sorts of medical complications and it has social consequences. I felt it was worth the gamble, and for me it paid off, it did help with my distress towards my body and my life genuinely feels better.
In terms of what I am; I'm still that same person I was at the start, I've just done a rather dramatic treatment/body modification. In terms of talking to other people, I do prefer if I can make no secret of the fact I'm trans. I find it liberating when people know the truth; otherwise I spend my time worrying about how they will react, "do they already know?", "how do I look?", "can they tell?", etc. Being stealth is more stressful. It's complicated though of course. I do personally know TWs in my town who have been physically assaulted by strangers based on their appearance, and so I do try to be inconspicuous when walking down the street, out of fear. My ideal society would be one where I didn't feel I had to hide what I am, be self conscious every time I go out in public. Sadly at the moment I feel I do have to hide sometimes.
To describe myself, I just say I'm a trans woman. I know some posters here don't like that term, but I do find it's the label that most people understand (though there is plenty of confusion I accept). To me a label is something that brings understanding, and most people now seem to know what a trans woman is roughly. I certainly don't leave it unqualified and just say "woman", but equally I don't typically refer to myself as a "man" but would do for clarity if someone is confused. I don't make any demands on how other people refer to me, but certainly when I hear people say she/her I don't correct them to he/him and vice versa.