The sort who decline to identify as either left or right, preferring some third label like anti-authoritarian (as the poster to whom I was responding was doing) tend in my experience to actually be of the left. The very idea of rejecting both labels implies belief in an
equivalency ("each wants to impose its own brand of authoritarianism, so what's the difference?"), which is a sign that this person does not understand the nature of the modern culture war, is unaware that the left is nowadays both far more powerful and far more authoritarian in its thinking, and is therefore (at least unwillingly) on the left.
Put another way, if you aren't explicitly on the right you're probably on the left.
P.S. I might add, some of this tendency to see a false equivalency between the excesses of the right and the excesses of the left is due to latent leftist sympathies, but some is also due - I think - to an unfortunate tendency among many libertarians to see everything in black and white: an ideology either permits aggression or it doesn't - with no room for different
degrees of aggression. By way of (slight) hyperbole, suppose you're presented with a traditionalist movement to ban divorce, on the one hand, and the Bolsheviks on the other. Some libertarians are going to say "ah, well, they both advocate aggression...so who cares?"
