Perhaps the best solution is to have more democracy or community input into policing. It seems like it's happening now in the US (it would be quite different in other countries, where the police is national and considered civil servants; in France you can't elect sheriffs, and police is beyond the responsibility of mayors).
In the end, some communities will vote for a police that's tough, and other communities will vote for a police that's less tough. There will still be issues when criminals used to non-tough cops cross into an area with tough cops, but that's life.
Tough is having courage and compassion while being firm. Tough not being an insecure bully. Please don't use "tough" when relating to US police brutality.
Having a decent police force is a solved problem. Just look around for a country with a decent relationship between population and law enforcements. Look what made that happen (Was it 2-3 year police training? mental health screens? No qualified immunity? Central/federal authority governing all police forces? perrhaps ALL OF THE ABOVE?).
See how far you go with a compassionate police in Brazil.
> Crime and violence are not homogeneous around the world
It's also a bit defeatist to say that somehow the US is infested with crime and violence and that must always be the case. This isn't a problem that will be solved in just one or two generations. Attitudes take a long time to change, but perhaps Police culture is part of the propblem and not just the solution.