One good point raised was that despite what many claim, very little of this has any impact on academic rigour. Saying "prevailing research be damned, I believe in X" is not useful academic work and doesn't advance knowledge in ways they claim to care about so much.
"The established literature fails to predict X, Y, Z and doesn't account for N. My new model takes this into account and provides better predictive power than the old one, please peer review my work" is a far cry from "I only believe in two genders" or whatever.