This post turned into an interesting back and forth between Amanda Billyrock and the Analytic Economist:

Her response is here:
http://amandabillyrock.com/the-truth-about-anarchism/

and the Analytic Economist expands on his original post here:
http://analyticaleconomist.blogspot.com/2013/06/the-truth-about-anarchism-reply-to.html

I'm still swayed by the minarchist arguments, but I need to spend more time with the debate...