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).
Let me introduce you to the "lab leak hypothesis", which was decried as racist for years by prominent Democrats and scientists. It lost this reputation around the time that another prominent liberal (Jon Stewart) saw fit to mock its detractors on national TV a while back. This was not firmly established science at first, but those on the left made impossible to even discuss in mixed company, which shut down the conversation and any rational investigations.
For other examples, check out Vinay Prasad's writings. He's a Bernie supporter, a UCSF professor, and the rare progressive who is willing to call out hypocrisy and graft even when it appears on the left.
And to me, as a Chinese-American person, it was insulting (and a bit bizarre) to insist that it's "racist" to say the virus leaked from a lab, rather than having spread via an unsanitary wet market. But this was the party line, and many people toe'd it for years.
On the other hand, it seems that there almost zero medical professionals on the left who are interested in debating him and showing how he has been wrong about various topics. He calls for universities to host debates on these topics of public concern, but pretty much no one is willing to do it. This makes me think it is somewhat less likely that he is just completely wrong, and more likely that he is the one saying that various (naked) emperors have no clothes. I'm sure he's not always right, but much of what he says seems quite plausible to me (a fairly well-educated person with some understanding of statistics).
I'd love to know where folks have mounted successful critiques of his work, or if he has any conflicts of interest that he doesn't mention.
This could be a Godsend with respect to stopping the assault on science. Conservatives would be very unlikely, for instance, to get their "studies" independently replicated by non conservatives.
It is not controversial in academia that the Earth is on the order of billions of years old, animals change over time via evolution, or that carbon dioxide has a greenhouse effect. And yet within the American political context, they are controversial.