A study recently published on Scientific American seems to prove that left-leaning people tend to have more gray matter in the pre-frontal cortex (i.e. the area of the brain involved in complex planning, understanding of new things and pattern detection), wwhile right-leaning people tend to have more gray matter in the amygdala (the area of the brain responsible for spotting potential danger and refuse something new if it may pose a risk to survival):
https://www.scientificamerican.com/article/conservative-and-....
If that's true, and if indeed conservatives are much more likely to believe in conspiracy theories (http://www.scientificamerican.com/article/information-overlo... in conspiracy theories), then the opposite of what you state may indeed be true
Keep un mind that before a conspiracy theory turns into the perverse mind-twist of a complex theory like QAnon it ALWAYS start simple, and always simpler than reality actually looks like. It can always summarized with "those guys want to harm you, so don't even bother to look further, the explanation is easy": pure and total amygdala stimulation. Then, when they are contradicted by evidence, they put up more and more complex twists to mitigate the arise of cognitive dissonance in its followers ("I know that it looks like things don't make much sense, but you know, you have to follow the crumbs, or keep in mind that Trump is talking to you in Morse code" etc.)