Don't imagine that showing evidence and rational arguments will be enough to demonstrate the risks, harms and fallacies within genderism. It's not about 'belief' and understanding, so much as performative compliance & social currency.
Some of this is a subculture, and that will self-limit, and fall out of fashion. Youth culture is already eyeing genderism as passe. Media is rapid, but slapdash and mercurial; government and the law work slowly, partially, bluntly and badly for the most part. The populace has little idea, huge chunks don't understand the issues at stake. Emotionally motivated arguments are largely impervious to reason, evidence or logic.
I'm most worried about the EHRC's recent suggestion that a belief in biological sex was 'controversial'. We have a moral equivalence that gives equal weight to the idea that sex is a spectrum and there are over 100 sexgenders - many including the Scottish govt apparently see no difference between sex and gender.
Hopefully the Cass report will push the NHS towards more rational, evidence-based stances, and better care and treatment for gender-dysphoria. Sport will probably develop robust rules because for some reason people really care about sport. Schools may get more practical about' gender incongruity'.
The police seem gleeful about their continued expansion of thought-crime powers and in no hurry to sort deeply ingrained structural misogyny. Higher Education seems lost in a morass of ridiculously abstract nonsense. Lawyers can argue the number of gender-neutral angels on the head of a pin endlessly to their personal enrichment. Politicians can pontificate, flip-flop, and score points on either side with little regard for the consequences of their actions. The MoJ know the issues but have effectively shrugged about the extra risks to women incarcerated with males, whatever the history of those males.