Another option is to just have no official city police department (i.e. a group with warranted immunity from criminal prosecution for “exercising one’s duties”), only an informal community watch/militia of regular citizens entirely out of the hands of top-down municipal control. There are functional communities that operate this way, e.g. Cheran in Mexico (https://www.bbc.com/news/magazine-37612083)
We should treat drug use and mental illness as public health issues. We should treat homelessness by housing and feeding those who want help. We should treat domestic disputes with social work. These are complex issues that deserve specialized responses.
So let’s tackle those problems proactively. Invest in neighborhoods. Make sure there is economic opportunity. Provide ways for people to feel accepted by their community. The point is to try to stop these things before they become problems, rather than only deal with them punitively under threat of violence.
Of course violent crime will still exist. But we’re not even dealing with that particularly well today: half of all homicides in Minneapolis went unsolved last year [0]. The actual solution might not look anything like policing as we know it today.
[0] https://www.startribune.com/as-homicides-rise-minneapolis-po...
Ineffective policing may be part of it, an alarmingly low number of violent crimes is solved here - ~10% of murders and violent crimes (the categories are combined in the report), %19% of sex crime including rape, ~6% of robberies and theft going all the way down to ~0.5% of bicycle theft cases [1,2]. The trend for the percentage of solved crimes has been going down for a very long time now so things are not improving, at all.
[1] https://www.bra.se/download/18.7d27ebd916ea64de5304de44/1585...
[2] https://www.bra.se/download/18.cba82f7130f475a2f1800010674/1...
[1] https://en.wikipedia.org/api/rest_v1/page/graph/png/Crime_in...
[2] https://en.wikipedia.org/wiki/File:Sweden-crime-1976-2016-ro...
[3] https://en.wikipedia.org/api/rest_v1/page/graph/png/Crime_in...
[4] https://en.wikipedia.org/api/rest_v1/page/graph/png/Crime_in...