Cranks exist across the political spectrum.
That said, I do not believe they would do well in a science/academic role because it shows a clear disregard for many separate academic disciplines at this point. And these religious views are not evenly distributed across the political spectrum.
I don’t think people who believe there are no significant biological sex differences should be in a science/academic role either.
The argument is over what those differences are, how much they matter (i.e. a 1% difference in the mean? Who cares), and how malleable they are given modern medical science.
(And that's before one gets on the topic of whether those differences should imply a societal structure that pigeon-holes people based on their biological sex).