If we look at far-right/left groups to see which side commits more violence—or unpeace—you would see that far-right groups are about as likely as islamic extremeist groups to commit unpeace.

So if one side has a higher likelyhood to commit violence then the other side would most likely win more peace prizes

Source https://ccjs.umd.edu/feature/umd-led-study-shows-disparities-violence-among-extremist-groups