The opposite is done too, though--for instance, when one assumes there is no differences between boys and girls, then dressing girls up in pink or giving them baby dolls is seen as abetting a (sometimes emergent) conspiracy which deserves great efforts to combat

Perhaps; I think part of the issue there is that there is a political debate and a sociological engineering project, and they keep shitting all over each other.

"I think if we raise boys and girls in gender-neutral environments, their inherent gender biases will be far less noticeable" is part of the sociological engineering project.

"No! You're turning them into lesbo feminazis and fairy faggots!" is the political-debate response.

"Fuck you! I'm dressing everyone unisex and attacking everyone who doesn't!" is the political-debate counter-response.

Note that while the counter-response is crazy, it's a predictable emotional response to the prior crazy, and shouldn't be blamed on its own. My assertion is that attacking people who say "I'm dressing everyone unisex and attacking everyon who doesn't!" isn't nearly as effective as attacking the people who set them off in the first place, and hoping that they'll calm down once they're not under severe stress from people who are crazier than they do and attack them without provocation.

Does that make sense?