The percentage of left-handedness correlates strongly with how pacifist vs warlike the society is. According to this 2005 study it varies from 3% up to 27%: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1634940/
Where I am going with this is that it might not be that left handedness directly correlates with violence in any way - but perhaps societies with more left handed people were simply more likely to survive in more war like times.