Maybe it's just me, but I am having a really hard time understanding the picture... why would they fight in the first place? What gives the 'minarchists' the illusion that they can force others to be a part of what they call 'their' territory or nation? Being a minarquist doesn't mean that you are an idiot or that favor war to establish a State; even Rothbard himself was cautios at times when calling himself an 'anarquist' and was very much aware of the difficulties of getting rid of the State in a short period of time (impossible), even if it be only rhetorical.
Also, you would have to agree that on every single nation in the world today, governments have plenty of property under their name and that the process of privatizing is necessarily cumbersome.
Personally, I am a minarquist simply because of the status quo, but I also favor Anarchism as an indicator of where to go. It doesn't mean I need to be challenged on my 'faith' in anarchism, as there are still many aspects of it that many brilliant men have not been able to dilucidate or agree upon.