I think conservatives don't really know what they are, and that's a big problem. I think Sagan discussed this. Like science is a pretty well established "institution" dating back centuries. Intellectualism dates back kind of as far back as humanity, almost every large civilization I can think (that left records) of had strong intellectual presence (including Greeks, Romans, etc.).

I'm not even critiquing any particular cultural stance. But I think it's possible and important to critique anti-intellectualism and specially denialisms specially in things that are actually important and threatening to society -- simply because of greed, most of the time. Let's not fool ourselves, climate change denialism isn't like a random cultural thing they chose to deny, it's specifically because of connections to coal, oil and gas industries.

If things are bad, you should want to know what will be the consequences and what can be done to mitigate things. In fact, I think denial tends to create some reactionary behavior from the left as well, sometimes leading to overblown claims around climate change. All of this leads to increasing polarization.

Slowing down cultural change is perfectly fine (as long as it's respectful of well established things like human rights), cosplaying a farmer is fine, whatever. Or being an actual farmer, or living outside of a big city, etc.. What's not fine is actively denying important scientific facts, being hypocritical (and, largely, stupid) in their positions: for example, farming tends to use very high tech equipment and methods, seeds, and so on; I'm sure most farmers enjoy most technological development, treatment against cancers, all sorts of diseases; computers, the internet, etc.. You can't at the same time want progress in cancer treatment and other conditions and want to cut funding to health sciences. And so on. I am willing to even entertain say technological regression. I don't love every technological change we've been through. But at least be consistent, you can't advocate to stop wearing clothes and want to live in the arctic.

Also, culture should be, carefully yes, questioned. It's not because it's cultural that it should stay frozen forever. People who want their culture completely frozen forever are dangerous to human progress and flourishing (I imagine most people wouldn't find ancient practices of human sacrifice, or say medieval torture practices nice and acceptable today). Being careful and well-reasoned is a completely different thing, and something conservatism could stand for instead.

Conservatives views are not anti-science, so much as they are a demand that science only be allowed to answer certain questions, and only answer those questions in specific ways.

Liberal views are very anti-science on race. Some famous professors even lost their positions just for adopting the statistically correct position that the majority of the difference in outcomes between races is accounted for by IQ, which is mostly immutable after childhood, not some societal conspiracy against certain races.