What I mean by "non-threatening" is that the anarchy is NOT the sort characterized by conservatives and liberals. You know the kind, rioters in black masks roaming the streets looting, pillaging, and causing general mayhem. That is not the libertarian view of anarchy, thats just rioting.
The libertarian view of anarchy coincides with the concept of spontaneous order. That concept describes how the unhindered the free market operates by imposing its own rules on itself, such that there is a "spontaneous emergence of order out of seeming chaos." One of the biggest proponents of that sort of anarcho-capitalism, as it is called, was Murray Rothbard.
My background teaching biology made it very easy for me to accept spontaneous order in economics and society. Anyone that has ever studied biology will know that organisms, be they plant, animal or protist, live within "self ordered" ecosystems. There is a producer level, and various levels of consumer, and any external interventions often disrupt the order of the ecosystem. So, you see its not a huge jump to spontaneous governance among humans, and I have written about this before, here, here, and here.
In the ReasonTV video below, Stefan Molyneux is interviewed by Matt Welch at FreedomFest 2012. If you live in or near Southern Ontario, Stefan Molyneux will be the Keynote Speaker at Liberty Now on November 3, 2012. Why not come out and challenge the self-confessed anarcho-capitalist on his home turf? I'll be there too.