solarpunk memes

Your post makes it look like a binary choice between cop-filled reality and cop-free fantasy. But there are marked differences between how many cops (many = often more stupid, untrained, poorly selected, corrupt) a society needs and what activity is expected of them.

Existing societies also demonstrate a vastly different need for imprisoning people.

Myself, I think that prisoners per capita is a better indicator than cops per capita. The latter gives weird results heavily tilted towards microstates (lead by Vatican, Pitcairn Islands and Motserrat).

• Maximum of prisoners per capita: North Korea (undisclosed but estimated), El Salvador (1600 per 100K), Cuba (794), Rwanda (637), Turkmenistan (576), United States (541).
• Minimum of prisoners per capita: go and have a look, it's interesting. The leading 5 have a trend towards microstates and very poor developing countries, but if one filters them out and chooses sizable countries with functioning economies, the first that comes across is Japan - with an incarceration rate of 33 per 100K. That's 48 times less than El Salvador and 16 times less than the United States. The first European country on the list is Finland with 52 per 100K, indicating approximately what a "western style" society can achieve. The EU average seems to be around 100 per 100K. The highest rated EU country seems to be Poland with 194 per 100K.

Notably, the first somewhat sizable European country and western-type society on both lists is Finland. It has the lowest prisoners per capita in Europe (at 52 per 100K) and the lowest cops per capita in Europe at 132 per 100K. It is not a known haven of rampant crime - it has really low crime rates too. Apparently in some conditions, you can have few cops, few prisoners and limited crime.

My guess - I could be wrong - is that the quality and coverage of social security, education and health care are what actually make the difference. Most people don't start criminal activity for fun. Contributing factors include desperate poverty, poor parenting, lacking education, mental illness and exposure to trauma, damage from disease and substance abuse, etc, etc. Lots of full prisons are probably a factor that contributes to criminality, by making a "higher education in crime" accessible to more people.