From the game-theoretic point of view this is dubious. Assume the existence of two alliances: B & F. Alliance B uses Bitcoin-based financial system without fractional reserve. Alliance F uses the conventional debt-based financial system.
F issues war bonds to finance war of aggression against B. Because B is not capable of financing its own defense it gets easily conquered by F. F then subjugates the people of B and robs their natural resources to pay off the war bonds issued. By demolishing all B's massive mining farms it also significantly increases the availability of cheap electricity.
It would appear that the adopters of Bitcoin necessarily put themselves at disadvantage in a military conflict or that your model needs further refinement.
Ok F land takes B land, but then what?
1. They can't raise taxes because everyone hates them and are hiding their transactions using Bitcoin.
2. Oppressing peoples is historically insanely expensive, the ONLY "successful" examples I know are
the Romans, Arabs, Mongols and other such empires that brought new organization and tech with them
- not just oppression.
3. Funding a purely defensive military is also way cheaper than actual wars, any small fortifications,
armed militias or one or two deterring weapons like 1 nuke, 1 dirty bomb or 1 bio weapon would drive the
cost/risk of invasion through the roof.
4. They need the local work force of the nation to get the resources - no Americans are willingly gonna dig for coal
in Africas mines! Their ENTIRE modus operandi for achieving this has been putting the country deep in debt and corruption -
which becomes very difficult with a B land based on open voluntary P2P structures and no debt.
Russias method has been convincing them they're Russian.. a method which has its limits.
In any case a decentralized B nation is difficult to control through capturing 2 or 3 central authority buildings.
5. What about REAL war then? Exterminate a people, move your own in and straight up take it all? Very risky in todays world -
everyone and their grandmother has a nuke/bio weapon - and you just became the international bad guy that its okay to bomb/"liberate".
Why do you think Putin cares about the medias perception when he could just roll in? This is why.