Here's one study I found. They were determining if gender affirming care helped reduce mental illness and suicide and had looked at correlations of the two in Sweden.

Ultimately a correction to the study was published that they were unable to determine if gender affirming care helped or not, but the raw data from the study appears to still be useful.

https://ajp.psychiatryonline.org/doi/10.1176/appi.ajp.2019.19010080

Well this may surprise you, but statistically, people with gender dysphoria have higher quantities of other mental illnesses. And more often than not, when the other issues are fixed, the gender dysphoria goes away.

At the end of the day, there are much fewer people who are ACTUALLY transgender once all other issues have been properly fixed.

The left does a good enough job at decreasing their own domestic voter base, I don't think they need any help.