I question your assertion that police are necessary to reduce violent crime. I’m sharing one reason below. Another is that the police have an atrocious record when it comes to dealing with one of the most violent crimes short of murder, which is rape.

“The Crisis Management System: this network deploys teams of credible messengers who mediate conflicts on the street and connect high-risk individuals to services that can reduce the long-term risk of violence. In the last three years, the Crisis Management System has contributed to a 15 percent decline in shootings in the 17 highest violence precincts in New York City.”

https://www1.nyc.gov/site/peacenyc/interventions/crisis-mana...

I found the above cited in:

https://www.newyorker.com/news/news-desk/how-the-police-coul...