Actually there has been research on why some people support authoritarianism when under social stress. It seems to be related to variations in the limbic system. These variations may be due to nature or nurture, more likely a combination of these. For example, the following is excerpted from https://www.discovermagazine.com/mind/your-brain-on-politics-the-cognitive-neuroscience-of-liberals-and-conservatives :

"Two neuro studies mentioned here on this blog recently, the Amodio study (Neurocognitive Correlates of Liberalism and Conservatism, 2007) and the Kanai/Colin Firth study (Political Orientations Are Correlated with Brain Structure in Young Adults, 2011), found similar results when comparing the neuroanatomy of liberals and conservatives. These are the ones I want to focus on.

The Amodio study found that liberalism correlated with greater activity in the anterior cingulate cortex, or the ACC, while the Kanai study found that liberalism correlated with increased gray matter volume or a larger ACC, as shown in MRI scans. Additionally, the Kanai study found that conservatism was correlated with increased volume of the right amygdala."