I mean, their foundational philosophy is Ayn Rand, a fiction writer? The whole right-libertarian ideology is a joke compared to the intellectual rigor of anarchist theorists like Kropotkin, Bakunin, Malatesta, etc.
Especially in a world where the entire global economy is controlled by capitalists, it looks silly and just ends up affirming capitalist rule, like the OP has pointed out.
Ayn Rand is not consensus within libertarian circles.
From the top if my head on the libertarian camp I think of Rothbard, Hayek, Mises, Menger, Von Bawerk who debunked Marx economic policies. Also arguably Kant and Adam Smith and many others who influenced it.
My guess is that since you know Bakunin and these others there might be a chance you are deep into the other extreme. I think it's okay to disagree but your comparison shows you probably need to do better research before putting things together to avoid the "our blessed homeland, their barbarous wastes" situation.