Hello, new to the forum and I get the feeling I won't get many friends here based on my views, as I am not what many of you would call and anarchist. I consider myself one, as anarchy to me means absence of the state, not absence of coercion, violence, capitalism, etc. Perhaps, emergentism better describes me. But I digress, this post is about the horseshoe idea.
My understanding (and I am by no means an expert) is that Left = Group oriented while Right = individual oriented
From what I've seen/thought about, there is very little difference between left leaning people and right-leaning people in two scenarios. In totalitarian societies, both the Fascists and the Communists seem to comit genocide for the "good of the people." There aren't many differences between totalitarian societies, yet they'll hate eachother simply because they disagree with how to be totalitarian.
I see similar things with anarcho-capitalists and anarcho-communists. A majority of ancaps and ancoms are against enforced authority, and find unreasonable (in my opinion) arguments against eachother. The idea that a stateless society would not accept commonly owned areas or privately owned areas is flawed. Both would likely exist at the same time. The "exploitations" of a corporations would be reduced without a state. For a variety of reasons: 1. No government protection to hurt competators, or ensure an unsuccessful business model continues. and 2. With commonly-owned companies where workers distribute payment evenly, it would be very difficult for a privately-owned corporation to convince people to work for them without seriously increasing worker's wages/working conditions/benefits.
Yet both have their greivences with each other. Ancoms claim that capitalism would simply provide the exploitation of the state using a market and that the poor would not be treated fairly. This could happen. Ancaps claim that anarcho-communists often act authoritarianly. This could happen.
In my opinion, the key to these two scenarios not happening comes in two steps.
1. The idea of being allowed to leave society
2. The idea of pacifism is strongly valued by society
With these two values, the differences between anarcho-capitalism and anarcho-communism becomes almost as petty the differences between Fascism and State Communism.
Just stating a few of my thoughts while trying to push down the barrier between the different factions of anarchists.