Thank you for that excellent exposition. I was somewhat surprised that you didn’t get to the ultimate paradox that libertarianism confronts: the universally recognized need for constraints on liberty. Libertarians themselves accept the need for constraints on liberty in the interest of justice. That makes those constraints the true source of justice, not liberty.
That inherently entails various issues, such as the valid source of constraints and their valid ends. It is way more complicated than libertarians usually want to acknowledge. Even so, we can all applaud the most fundamental principle of governance following from libertarianism: that people should be free to do whatever is not illegal — and there better be damned good reasons for outlawing anything, and in a process that is itself ‘just’: thus the symbiotic relationship between liberty and democracy.