Apple vs oranges comparisons are always flawed by nature and your list is completely wrong. With Religious violence, Muslims win hands down both for established terror groups, street gangs and individual jihadists add their control of federal prisons and no other religious group comes close.
Ethinc Violence the gangs win. Political violence is all the left, the KKK, BLM, Antifa and dozens of spin offs supporting race, globalism, social agendas and politics. On the right, you have proud boys and a few defensive groups that watch over rallies but have never started a confrontation (I will give them credit for that).
Not sure why the Evangelists, the Police or Chris Kyle made your list, probably your personal bias. Evangelicals have no armed violent groups, the Police hunting down unarmed Blacks myth has been busted too many times to count and Kyle was a soldier with no history of violence.
No amount of your own bias changes the truth. The left is considerably more violent and confrontational then the right.