this is a great question, and could get a lot of answers/comments.
i personally have noticed a pretty hard line being drawn between anarchists who have some sort of post-left critique, and anarchists who don't (left anarchists, social anarchists, class war anarchists, anarchists from/stuck in the last century, etc).
the latter (i'll call them social @s) tend to claim that post-left @s are not really anarchists; we've seen it numerous times on this site. some common disagreements between pl@s and their leftist counterparts include:
- pl@s don't elevate society (the greater good, the people, masses, workers, etc) above the individual. which is not to say they are all individualists.
- pl@s don't idealize work and workers, nor see workers (or any class) as "the revolutionary subject".
- pl@s don't tend to focus on building mass movements.
- pl@s don't limit their perspective to the realm of economics and it's central position in life (to the point where many question the entirety of civilization).
my (admittedly simplistic, and not at all complete) take on this particular rift is that social @s tend to identify so strongly with "the left" - and its history - that any challenge is seen as an attack on their identity (which is, of course, a mass identity). what sometimes shocks me is how adamantly they deny that anything other than their leftist perspective could possibly be anarchistic.
no thoughtful anarchist i know would deny the historical ties between anarchy and the left; they just don't assume that leftist ideology is the only possible way to think about anarchy. pl@s i know try not to be rigidly bound by the ideological constraints of history; there is no rigid blueprint that must be followed by all anarchists.
no doubt there are pl@s that also turn that tendency into an ideology, and even get dogmatic about it. but most that i know seem to have a fairly well balanced relationship with the ideas, and with their own individual identity.
just some initial thoughts...