The suicide stats are not as you are making out, assuming they've come from the same lengthy report as I'm reading.
Firstly, that 41% is attempts, not people who commit suicide. Big difference.
Secondly, and very crucially, the survey did not directly explore mental health status and history which is very important when the co morbidity of transgenderism with other mental health conditions, and with other issues such as autism, is enormous, and it is very difficult to unpick causation from correlation in this area.
The analysis I found also identifies issues with how the survey was performed (it's a survey which focused specifically on discrimination so likely to have been a slightly self selecting sample), the question which was asked (lacked subtlety and tends to lead to increased positive responses) and the fact there is no info about how attempts corresponds with actual suicides.
The whole "if you don't support trans people they'll commit suicide" line is disgraceful and grossly oversimplifies the issues which are often underlying.
There's also, more importantly, research which suggests that fully transitioning doesn't lead to better outcomes. Telling people that they can become the opposite sex isn't helping them as in many ways it's a fruitless quest. The sad reality is that the proportion who will ever be able to live a transitioned life which matches their vision is very small. Societal change in terms of accepting that people should be able to live, dress etc how they want is needed to improve the situation, but so too is more honesty and realism.