I support a capitalist economic system and recognise that it has been the greatest engine for getting people out of poverty that the world has ever known but anarcho-capitalism is too reductive. Firstly because anarcho-capitalist society would require almost everyone in that society to subscribe to that philosophy and that is not easily achievable without the wider society being a certain way and remaining a certain way. So an anarcho-capitalist society would be impossible right now because no one believes in it and not enough people even believe in minimal state capitalism. People are also too weak to not want to be dependent on government. If you even cut the size of the state just a little bit, so called "austerity", they are out in the streets smashing stuff up and acting like its the end of the world.
It isn't possible to have real capitalism without a healthy supporting culture and it is absolutely not possible to have real capitalism with weak men.