Sorry, but I know people who are anarchist by heart, but all of them say that it isn't possible. It's just an ideology like communism and capitalism. They don't work, because all people are different. One could argue that there could be places dedicated to people with the same ideologies, but that wouldn't work either, because someone would get a better "lot" on the planet, and people that are very religious would still come to your country and tell you what to think.
Anarchism incorporates the idea that strict ideology doesn't work, because people have different needs in different times and places. This is pretty much the entire reason for the rejection of hierarchy: it allows individuals the freedom to implement what works for them. Check out An Anarchist FAQ, Section A.3: What types of anarchism are there?, it touches upon the idea that a single unified ideology is not a good thing.It's just an ideology [...] They don't work, because all people are different.