Honestly I will just thank my lucky stars most people believe this fiction you present, because it's keeping the more libertarian areas cheap and without too many busybodies. It seems you've not heard of public access private easements or private trash service, and you haven't learned how to shoot a bear.
I pay like $50/month in property taxes and that's basically exclusively for public school and college, which while I'm not thrilled to be paying anything above $0 at least basic education has a massively positive ROI.
We don't have any sort of effective police/fire presence, public roads, any public utilities, or really any government services besides grade school education and it's been that way for 50+ years without any sort of apocalypse or us all being eaten by bears. Which is amazing because I don't have to worry about some asshole coming along to choke me out on the pavement were it I would have the bad judgement to sell a loose untaxed cigarette.
So far the place hasn't turned into a trash heap, and I've gotten the services I used to get by public services in other areas for 1/3-1/2 of what I was paying before.
I'm happy to have it as my little secret, but I hate to see y'all suffering.
Surely you realize this only works in low-population-density areas, with minimal economic disparity, and probably lots of self-sufficient property protection processes.
None of those factors are possible and/or desirable, in cities. And cities are necessary things.
What works where you are probably wouldn't work for most people. I'm trying to imagine any city with no police or fire protection, public roads, public utilities, etc.
I would really like to see private medical system problem solved in USA.