I like it! I would not have used the word "anarchy" as synonymous with "no rules", as I see anarchy as rules without rulers: exactly the kind of decentralization you are describing. Other than that I agree!
And I like the emphasis on how stable decentralized base layers or natural laws provide a foundation for centralized entities to flourish, without destroying the whole structure. I would also have added emphasis on how decentralized base layers are generally composed of many centralized entities operating in a way that keeps the overall foundation stable, due to incentives or those natural laws themselves, upholding the overall structure of this layer.
Governments are a naturally forming class of corporation indeed! but their design of disrespecting the volition of their customers and voting stakeholders, as well as huge swathd of the operations they engage in, even on sound money, are an inefficiency and destructive activity resulting from a lack of proper information flow and rational thinking, at least from my perspective. I imagine under Bitcoin, as you think, governments will still be around, but most will be more efficient, smaller, and more antifederalist, and, eventually in some regions, many will be transformed into voluntary associations, a la anarcho-capitalism.
That is, I think, the natural tendency in a society of mostly rational people with sound money as a foundation. Many many awesome centralized entities will form on these base layers of rules without rulers: libertarian law from legal services corporations and property and money safeguarded peacefully on Bitcoin.