Most of the time with rednecks their biggest conspiracy theories are that evolution isn't real and climate change is a hoax.
The weird thing about those theories specifically is that there are people who are /only/ into those two things. Usually with other conspiracy theories (moonlanding, flat-earth, chemtrails, whatever) the person tends to hold a bunch of different ones at once.
http://rationalwiki.org/wiki/Crank_magnetismSo I think that with the whole climate change/evolution people, it's not that they're crazy like the other conspiracy theorists. They're just otherwise sensible people who have been deceived by a political or religious authority.