Anti-intellectuals by definition don't possess the intellectual curiosity necessary to contribute to science, rather, they fear and mistrust such curiosity, and any result of it more complex or less intuitive than high school algebra.
The myth that science is just slavish dogmatism is pushed by the anti-intellectual crowd, and by people who want to discredit scientific theses like evolution, climate change, parts of physics and astrophysics, mainstream medicine or vaccines. Science already has a process of constantly questioning itself - that's literally what the scientific process is. That constant questioning by science of its assumptions and revising them in the face of new evidence has led iteratively to models of reality which have proven fairly robust against criticism, and appear to accurately describe and predict the universe.
The anti-intellectuals, meanwhile, just scoff derisively at the "globalist elites" in their "ivory towers" with their "mumbo jumbo."