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