I strongly suggest reading up on:
That link does nothing to refute the fact that the vast majority of people are male or female, and differences in hormones / development / personality is not relevant to biological sex in this context (already accounted for by saying 'essentially' binary, and strongly bimodal).
1) Is it even true? Do you have data on this?
There have been several countries where 'diversity is our strength' types in authority have ignored or covered up crimes from certain minorities (sometimes for years/decades) and gone after criticism of minorities or the government harshly. Does that not obviously create resentment, and empower bigotry?
Unconscious bias training doesn't reduce bias (and 2 of the 3 originators have come out and said their research isn't fit for the use it is being put to), and there is some evidence to suggest it causes bias (with explicit diversity hiring, any new minority hires can not be assumed to be hired because they were the best person for the job, in addition to specifically dividing the workplace into the 'good/minority' group and the 'bad/majority' group); I've heard this from several people in interviews (the scary intellectual dark web types your link refers to).
If you were fired or deplatformed, etc, for something you believed and there was evidence for it (valid or not), would you suddenly stop believing that thing, or assume the reason those taking actions against you were doing so because they could not address the evidence, and resent their unfair treatment of you?
Is not allowing drawing ASCII penis on the site is empowering teenagers who want to draw ASCII penis here?
That makes no sense whatsoever.
You said 'stating a politically incorrect fact empowers phobes', to which I responded that not being able to state such facts is worse in that regard.
2) It's not suppression, no more than "earth is round" is suppressing "earth is flat".
If saying there are only 2 genders is "ammunition for homophoboes, transphobes etc", that is at least implying one should not claim there are only 2 genders (specifically, biological gender, ie sex). If not arguing against saying that, you are at least making a moral judgement of it, neither of which are compatible to countering a conspiracy theory.
It is illegal in Canada to missgender someone (slight hyperbole, though technically correct; clarification in a reply below), police in several other countries respond to 'hate incidents' on social media ('incident' being a non-crime), Twitter has made using the wrong pronouns and deadnaming banable offences, Youtube channels get demonetised for talking about the wrong subjects, etc, so don't try to claim there is no suppression of politically incorrect facts.
3) Cool, it would be relevant if I called someone who disagreed with me *phobe
It is relevant because you referred to homophoboes and transphobes, when those terms have become almost meaningless, for the reason I stated. I wished to be more specific when replying.
I am not sure who are you arguing with, but you sure showed that strawman!
I don't think you know what a strawman argument is. I gave an example of a character written like that, and there have been movies mentioned earlier in this topic with such writing, where any criticism was claimed to be only because of bigotry.
Media exists as I described. Minorities in such media are not 'part of the team'. That was my point. I was not arguing with anyone.
People can and do change ideas all the time.
Yes, but I doubt it happens much due to the use of inaccurate and insulting stereotypes.