It doesn’t answer your question completely, but apparently conservatives are more likley to belive fake news.
Here is a quote from a study with a lot of links to related works.
In particular, Grinberg, Joseph, Friedland, Swire-Thompson, and Lazer [[42], p. 374] found that “individuals most likely to engage with fake news sources were conservative leaning.” Indeed, political bias can be a more important predictor of fake news believability than conspiracy mentality [43] despite conspirational predispositions playing a key role in motivated reasoning [44]. Perhaps because of this, an important body of research has examined whether conservatism influences fake news believability [45,46]. Tellingly, Robertson, Mourão, and Thorson [47] found that in the US liberal news consumers were more aware and amenable to fact-checking sites, whereas conservatives saw them as less positive as well as less useful to them, which might be why conservative SM users are more likely to confuse bots with humans, while liberal SM users tend to confuse humans with bots [48]. In particular, those who may arguably belong to the loud, populist and extremist minority wherein “1% of individuals accounted for 80% of fake news source exposures, and 0.1% accounted for nearly 80% of fake news sources shared” ([42], p. 374).