The illness doesn't come from being different. It comes from having to repress that difference. It's the same way that parents sometimes force left-handed children to become right-handed. It makes them more "normal", but it actually does lasting damage to their minds. It isn't being "abnormal" that creates a problem, it's suppressing that difference.
If you're right, and the identity issue isn't part of a medical disorder, then there's no reason to provide medical care to normalize the identity issue.
If dealing with the (cold, cruel) outside world (and its treatment of you) is the problem then the only "necessary" medical care would be therapy to aid in acceptance and coping.
But I don't think you're right.
From what I've read (sources I mentioned above) the transexual identity component of the dysphoria
is the mental disorder.
Believing that you're a gender that you are not is not "normal" (usual, average, or typical).
It isn't evil, it doesn't mean you're dirty, it isn't grounds for persecution, etc... but it isn't "normal".
Again, to go back to the examples I used of alcoholism and anorexia - not "normal", certainly "disorders", but absolutely not grounds for treating someone like an illegitimate piece of garbage (or for treating them any way other than you would want to be treated).
The disorder comes from truly believing that you were born in to the wrong body.
Feeling that way isn't normal, and it isn't healthy.
Since you can't take the mind out of the body and put it in one that is the appropriate gender it makes sense that the logical thing to do would be to alter the existing body to make it as close to the gender the mind perceives itself to belong in as possible - in order to treat the medical problem that exists (in the mind).
I can easily see how ostracism from others, one's own feelings about and arising from such a disorder, and efforts (failed, futile, or successful though they may be) to conform to "normality", can compound the problem that the disorder creates.
But that clearly isn't
the problem.