Right-libertarianism and left-libertarianism

After reading another sloppy take-down of libertarianism from a progressive (which of course emphasizes the "right-wing" currents in libertarianism), I was thinking of a concise way to distinguish left-libertarianism from right-libertarianism. Here's what I came up with:

• Right-libertarians believe that the goverment is democratic.
• Left-libertarians believe that the government is elitist.

This phrasing makes the distinction quite stark when you think about the implications of being "anti-government", and actually implies that there is substantial conflict between the two wings of the movement. Luckily, I think mainstream libertarianism is pretty "centrist" by this standard, believing that the USA's government has both democratic/populist and elitist aspects, both of which cause problems.

While there is also a "right/left" divide among libertarian cultural issues, these don't have a substantial impact on policy preferences (except abortion), so the divide I'm focusing on above is more about theories of power relationships (e.g. economics and social status). I see Ayn Rand as the quintessential right-libertarian. My impression is that these libertarians think that a free market would largely be organized around the same principles as today's economy -- the main difference being greater productivity as populist parasites are shed. In contrast, left-libertarians typically expect a radical restructuring of the economy as the existing large-scale organizations collapse without state support and are replaced by bottom-up organizations that give workers much more influence over the economy.