What is the relationship between level of education and political violence in America?

First, one should note that there is a strong correlation between poverty and violence and an equally strong correlation between educational level and income. In general, people of low socioeconomic status (something that includes income, prestige, and education) are more likely to have unstable home environments as children and end up caught up in cycles of abuse, crime, drugs, and violence than those from more stable or affluent homes. Of course, this is not always the case as affluent people can be victims and perpetrators of child abuse and domestic violence, but in general, low socioeconomic status correlates with increased exposure to violence as both victim and perpetrator.
Terrorism and other forms of political violence show a distinctly different socioeconomic pattern than more general forms of violence, being correlated with higher socioeconomic status. Political involvement usually requires education (to read and study complex information), access to technology, and free time, all correlated with higher socioeconomic status. Recruits to Islamic terrorist groups appear on the average to be wealthier and better educated than their compatriots.
In the United States, there seems to be little obvious correlation between political violence and educational attainment. Dylann Storm Roof was a high school drop out. Timothy James McVeigh had started but not completed college. Theodore John Kaczynski (the "Unabomber") had a PhD in mathematics. Major Nidal Malik Hasan had a medical degree. Members of the alt-right and neo-Nazi groups are not distinguished by having significantly different educational backgrounds than members of mainstream political parties. Although it would be comforting to think that education might be a cure for political violence, there is no strong empirical evidence that such is the case.
http://www.sas.rochester.edu/psc/clarke/214/Lee11.pdf