That was a great explanation. In so many ways, we are already at this kind of libertarianism.
In my brief days in the libertarian mindset, I encountered a few situations where the libertarian ways would not work so well.
Here is one. When I was growing up, my family was "working poor." Had my father been forced to pay for my elementary schooling, he probably would not have done so. I would have remained fairly uneducated, probably to the point where I could not have understood what libertarianism was about.
When I posed this question to the libertarians of that time, they said that a private funder could fund my education, with a contract between the funder and my father. In return, the funder would get some labor from my father (or me) later on. Unfortunately, education is quite expensive, so my father (or me) would be paying off that debt for a long time. I think this arrangement would be in the realm of "indentured servitude."
I have a few more paradoxes like that. It seems to me that there are just some things that are better solved by government working as a collective. If due democratic process is applied to reach the collective decision, then is it really immoral?