It seems like you have no idea what police is actually doing

You'd be surprised, I actually briefly considered joining some 20-odd years ago, got as far as reading the training materials (then decided there was no chance in hell I'd pass the physical).

What you describe, are one part "first responder" jobs, and another part tasks that wouldn't be there if people had something better to do. I'm not saying the "first responder" tasks would be gone, or even the religious or political conflicts. I'm saying that actual crime would be a fraction of what it is now, if all people had some guaranteed future prospects. Not jobs, not housing, just the knowledge that as long as they don't get violent, they'll have a way to pursue whatever life they want.

People work like pressure cookers; the more pressure you put them under, the more violently they'll explode when they get past their limit. Some will hit the purge valve and get drunk, beat their family to a pulp, or maybe just verbally abuse them every day (guess how I know that). Some just get piss drunk and do all kinds of drugs on weekends to "relieve the stress"... stress they wouldn't have in the first place if they had alternatives in their daily life.

Even in Europe, we have an anxiolytic and antidepressant epidemic. That should make us realize where the problems are coming from.