I think we're going to see a huge backlash at some point.
If your company subjects you do mandatory training presenting gender beliefs as "fact" when your personal beliefs are contrary to this it could be discrimination or harrasment.
It's a bit like them running training to teach you Jesus loves you and insists you put God Bless in your email signature when you are not a Christian and belief a different religion, for example.
Why is a company taking sides? Why are they siding with one set of beliefs to the detriment of the other? They would never do the same on religion (unless they were a church or similar). A company should remain neutral on such issues.
I am not a lawyer or even involved with law, but my gut feel is we are heading for a trememdous backlash, employment tribunals, legal action against hospitals and trusts, prisons, schools and other service providers.
At some point the grown-ups have got to take control back. The world will look back with horror and humiliation and wonder, aghast, "what the hell were we thinking!?"