I wouldn't say that we have this now - the amount of bureaucracy is too much. Efficiency to me suggests a shrinkage in the size and power of government and faster time to implement policy. Decisions to make these changes should be made by citizens instead of representatives.
On the point of "governance"... I think up from a certain point of growth in a society, people naturally want to delegate tasks to others. If feels like an extension of the division of labor concept which is at the root of our society's development. I don't really want to care about, for example, public road infrastructure, but I do want that handled somehow because it's beneficial to me and everybody else, so naturally there's a role that appears, which seems like a "public job", to handle that.
The current size of government across the world is ridiculous and ever growing, so there's something clearly wrong with the incentives there. But to say we need NO form of government (common handling of common issues for society) doesn't make a lot of sense for just everything. In my opinion, there are some areas which apart from a functioning free market, do need some sort of intervention and oversight - like transportation, housing, medical care.
The issue with government and democracy in general it its current form is that, much like bitcoin, doesn't scale very well to very large societies. Going back to ancient Greece there were let's say thousands of "citizens" in a town... now we're talking about millions. We need more tools to provide more transparency, one issue is that most government action is opaque and hidden from the public - if more would know exactly what is going on and what is their tax money used for, they would strongly disagree. I think in this respect bitcoin is very much aligned with the transparency concept and could provide benefits to common people easily figuring out what is happen with the money they give to the "state" (forcibly like now, or voluntarily hopefully at some point).
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