Here's an article arguing against my claim:
http://heterodoxacademy.org/2016/01/07/are-conservatives-rea...
But note they begin by stating that it is widely regarded as true, by people with various different backgrounds and specialist knowledge, and they're not really that confident in their rebuttal even though they've presented a paper that undermines the evidence of that theory in one particular narrow area.
"The current consensus in psychology is that political conservatives are uniquely simple-minded. Indeed, even the famous critic of political bias and Heterodox contributor Jonathan Haidt (and colleagues) suggested that there is a “consistent difference between liberals and conservatives” on several measurements related to cognitive complexity"