Disclaimer: In these answers, I am using anarchism to refer to anarchism as it has manifested itself as a historical movement: collectivist anarchism, anarcho-communism, anarcho-syndicalism, and synthesis anarchism. I am not including anarcho-capitalism, or anarcho-primitivism, or any other special snowflake brand of reactionary liberalism. I am also not addressing individualist anarchism, or mutualism, because–although I do consider these to be legitimate schools of anarchist thought which have been massively influential in the anarchist movement–they have not been the primary doctrine of any major experiments.
Yes, as long as we are talking about the kind of anarchism I specified in the disclaimer.
No. This is true, only on the most surface level. Anarchists oppose what they call a state (a centralized organization with a monopoly on the use of force), but do not oppose all institutions which would constitute that which Marxists call a state (and organ of class rule). Anarchists do not oppose workers militias, workers councils, or federations of workers councils. It is entirely possible to formulate a revolutionary program that satisfies all conditions of being both Marxist and anarchist. The divide within the socialist movement really has a lot more to do with the Vanguard than it does with the state.
This is only true for English speaking western culture. Marxism has been just quite prominent in Germany and France. Marxism has historically been seen as something foreign to English speaking culture, while anarchism took root in the British and american punk scenes in the 1970's.
Bakunin did not make contributions nearly as important to the socialist movement as Marx, and I don't think many anarchists would dispute that.
No. Anarcho-capitalists do draw from some legitimate individualist anarchists, but they take their points out of context and their ideology as a whole has nothing to do with anarchism.
Yes, although I think we are conceding to much by referring to this "American libertarianism" as such, as there was certainly a libertarian movement in the United States before this bizarre, reactionary, off brand liberalism took hold (ie. the IWW).
Sure, but we shouldn't get too tied down in these Utopian experiments. Lasting socialism can only arise out of existing material conditions. See the attached pdf of Marx's Critique of the Gotha Programme.
I am unfortunately not blessed with the ability to see into the future. Sorry user :(