Generally, I find that most people, LGBT or not, who are sympathetic toward transsexual people do believe that transition is the end-all be-all cure to any sadness stemming from gender, despite the suicide rates actually slightly increasing for post-op people. For most people it takes a long time to grant access to transitioning, lots of therapy and making sure that they aren't motivated by other issues (read: :autism

but because of climate changes in the medical community with regard to transsexualism, depending on where you live, accessing hormones and getting surgeries is kind of frighteningly easy. And that's not even taking into account your average Taiwanese doctor with a rusty scissor!
There's a number of issues with the transitioning problem. The chief among them is whether it's actually medically useful or necessary. I think there's a reasonable amount of evidence that, at least for some people, it may be. This is probably about the time there's enough critical mass of actual evidence they can do longitudinal studies and find out actual medical outcomes. Some of this information suggests it's actually unnecessary and harmful and that self-reported satisfaction is not long-lasting.
There's the secondary issue of whether people should be allowed to do it just because they feel like it even without medical necessity. I think they probably should on the general principle that it's your body and you get to decide what to do with it.
The problem is the intersection of these two primary issues.
If it's an elective procedure with no medical necessity, it simply shouldn't be covered by insurance or taxpayer money, unless I suppose insurance companies actually agree to cover it and there's a way of opting out of participating in pools that include this stuff.
On the other hand, if it is medically necessary and people are unreasonably denied it, so that transitioning is okay if you're Bruce Jenner but not a poor black person on Medicaid, that's an injustice as well.
What's complicating this issue is the people who are genuinely becoming deservedly hated in nearly every community, these troons who call actually dysphoric people truscum while insisting transitioning really basically is just a medically unnecessary whim, which would lead inevitably to the conclusion it shouldn't be covered at all and should remain a folly for the wealthy who can afford it.
These people don't know shit about the medical issues in question, and don't give a flying fuck that they're kicking the chair out from under those actually experiencing them.
It's this latter group of extremely noisy fucking idiots who is most likely to be disrupting groups and stopping them from getting real business done to cater to their evil, cancerous bullshit.