That is anarcho-capitalism as I understand it. You can do whatever you wish, so long as you are aware of consequences of your action, and everyone else is free to react to your actions as they wish, without relying on law or police to tell them how they must react. How is my anarchy form different?
The one and only form of anarchy in the history of mankind is
the self-sufficient community. There is no such thing as individualism in the human nature. A human is neither an individualist nor a (hyper-) collectivist (citizen). Anarchy in the world of the reality means
individualistic (stateless, unruled) communities. Matrilineal anarchy was slowly replaced by patriarchy (= organized violence, state and church) about 10'000 years ago.
That is what I support and wish to build, too, yes. People are social animals. They can not live completely independently, and will form communities with personal beliefs and cultures. I see no problem with such idea, and do not think it conflicts with anarcho-capitalism. In fact, I think it would be good for such groups to compete against each other in producing best educated children, most skilled workers, and best products.