The
anarchist-minarchist debate will still be around thousands of years after Karl Marx is universally confused with Shaka Zulu's witch-doctor, but it's not very relevant in the present. I see myself being on both sides of this debate.
Being a programmer, I tend to think of this through the following analogy: imagine I get hired to re-engineer the information systems of a small business and develop a new version of their accounting software while keeping their business running with the old version in the meantime. I find that the current IT system is a 1960s-era pre-UNIX mainframe held together with duct tape, the Algol code is documented in French, and it averages three electrical fires per month, which as of now are my problem to deal with. The new system will be perfect, but I need time to implement it, test everything, make sure it can handle all of their long-term business needs, document it, train the accountants to use it, convert the data, make changes to other systems that used to interact with the accounting mainframe, and so on. That old mainframe represents society as it stands now, and the patches I need to make to the mainframe to keep the short-term business operations flowing is what the pragmatic / minacrhist Libertarian Party is trying to do. The new version (i.e. perfect Anarcho-Capitalism) may take a while to stabilize, and not everyone will want to be an alpha / beta tester. You have to split your time between the two systems and keep both your balls in the air.