Responding to Susan, but think this is a useful thought to put out there...
You may be bothered by that termonology, but frankly I don't think you should be. The term identity bothers me too, but since all of this is fluid, I am in a way understanding of why the word is used. Some of what we expierence (i.e dysphoria) is whooly a matter of biology, but other things-the pronouns we use, the clothes we choose to wear are personal choices, albiet ones that are in no way independent of the other factors at play. So I take it as is...
Your understanding is entirely wrong! There are many of us who experience substantial physical dysphoria, and a few (such as myself) even identify as transexual; it simply means that I am not comfortable with traditional roles and notions wrt gender, or rather, I do not feel like I fit within those roles. Others can choose to do this and it's fine, but I just don't feel right with it myself. I am both sensitive and assertive. I like pants and dresses...I am a woman, but I'm not comfortable with all of the labels, expectations and presumptions that come along with the word "woman".
You're of course right that this is a need, but the social piece is a major one as well. I think that the social cost of being openly trans is a huge piece of this for me. Of course I also need to change my body-but that's only part of the issue. Surgery is important to me, but so is a sense of belonging. Perhaps even more so.
Now, the practicals are even now a bit much for me. And while it's fine for some people to give up their entire lives and just make that money, I am not happy to do this. There are other things that matter to me, and my education is, right now, even more important to fixing my body. One impedes my ability to live, but the other gives me a reason to go on. I'm hoping to get it eventually...but I'm not like you in that my transition is just a part of who I am and what I need to be happy.