A complex subject and I really cannot contribute but as a scientist by training I have to put my oar in the water about an often repeated statement here that statistics can somehow be twisted to support the most bizarre of hypotheses. Indeed there are bad data and any statistical analysis based on bad data is rubbish. There are bad statisticians or those who incorrectly manipulate the data but STATISTICS is not a black magic art. There are sensible tests to show if correlations etc. are correct or imperfect. Besides the survey that is referenced here is simply that, a survey. Assuming that the respondents answered correctly and honestly, the so-called statistical analysis is rather simple and straightforward mathematics.
As to the issue. Yes it probably is a problem but is it a really large problem and how does it compare with the magnitude of misery and suffering of those who are forced to feel badly or be bullied about their gender feelings?