The real problem is the lack of incentives for the police to do anything and common directives coming from above for political reasons. They get paid with tax

The real problem is the lack of incentives for the police to do anything and common directives coming from above for political reasons. They get paid with tax money and it doesn't matter whether they arrest 50 thieves or 0. Paradoxically if they do their job less, politicians can do political campaign and find excuses to raise taxes and allocate more money to the police. Besides, the centralised nature of the police make it so that some crimes are given more priority than others, which is probably what you were alluding to. Why is my country spending 1mln man hours per year persecuting small cannabis dealers and doesn't do anything about people doing real estate scams? (real story which happened to me and the Metropolitan police just closed the case, after having evidence, the location of the guy, the evidence on Companies House he was creating companies with fake names to reset his reputation and after having arrested and released the guy). If me and my neighbourhood had our own private insurance, private police and our own private laws we could agree not to persecute victimless crimes, to have a number of patrolling agents, to have a certain level of security monitoring. All of these services would have a cost and we could decide whether to pay it or not. If the police would do a bad job we could hire another police agency. Or we could not pay anyone and have our own internal armed force keeping law and order (think of a rural poor village having different needs compared to a city).