I have to correct the statement below.
You cannot be a responsible teacher or researcher if you tolerate lies and demonstrably false ideas.
There is a line we have to draw where we openly repudiate bad ideas presented in bad faith. We should no more have a conference panel at a serious meeting on fallacious ideas about sex than we should have conference panels on creationism and flat earth…unless it’s to flatly reject them. And even then, that has limited utility.