In my head libertarians are the right and anarchists are the left but they are similar in ideals (little to no government intervention). At least in the sense that if you talk to a libertarian I feel they tend to sound socially right and an anarchist tends to sound socially left. I have no idea if this makes sense at all. If you’re going to tell me to read more, sure, recommend some literature though.
Both have a somewhat idealized view of human nature, specifically vis-a-vis power vacuums.
But there are in fact both right- and left-libertatians. Right-libertarians more-or-less see people as a kind of business and think the government shouldn’t get in the way of businesses unless they’re engaged in unfair anti-competitive practices, because competition is the highest good. Left-libertatians see corporations as more-or-less hostile but useful entities that should be yoked to human interests, and that this kind of regulation is the role of government while leaving human individual behavior completely unregulated.
Whereas anarchism is pretty much orthogonal to any economic axis. Ideally, there’s no entity to regulate economic forces if there’s no central currency, so who gets regulated and for what reason is an absent question. Corporations can’t exist under anarchism because they’re so clearly a predatory hierarchy that frankly I’m surprised we even allow them in regular society.
So, uh, teal dear long-story-short, no, they’re incompatible world views because libertarianism presupposes power structures abhorrent to anarchism.
Thats a pretty great answer, thanks!