Byzantine:In fact, you would see more "collectivism" under anarcho-capitalism
You would see a highly-collected society, a dense web of interactions, and a variety of institutions constituting voluntary "collectivism" under individualist anarchism. But this is not what one typically refers to when one mentions "collectivism"; usually, the speaker means to refer to involuntary or coercive collectivism. The patriotism of a stateless society,
i.e., the love of a person for his or her stateless country, certainly does not constitute coercive collectivism in any way. It does not even entail a collectivist mindset!
Let us compare nationalism to racism. Obviously, in a free society, nobody would be punished for being a racist or a nationalist, as long as the racists and nationalists abide by the non-aggression axiom. But both ideologies require a collectivist mindset, both require that judgements be made not based on individual character but rather on irrelevant characteristics (e.g. skin colour, place of birth).
I will say that one can be a collectivist anarchist (e.g. a voluntaryist anarcho-communist), and not be punished for it in a free society. (As long as the communist is a voluntaryist, as long as he/she never uses aggression to get others to join him or her, we individualist anarchists have no problem with him/her starting a commune, or sharing his or her possessions with others.) So, in that sense, one can be a voluntary collectivist and be an anarchist. Thus, one can be a racist, a nationalist, or a communist and still be an anarchist, as long as the person agrees with the non-aggression axiom.
However, anarcho-capitalism is a strictly individualist anarchism, and one cannot be a racist, a nationalist, or a communist and still be an individualist. All three ideologies require a collectivist mindset, and by holding them, one ceases to be an individualist, and ergo also ceases to be an anarcho-capitalist.
Yours,
Alex Peak
“I’m very optimistic about the future of free-market capitalism. I’m not optimistic about the future of stat[ist] capitalism—or rather, I am optimistic, because I think it will eventually come to an end.” – Murray N. Rothbard, “A Future of Peace and Capitalism,” 1973