So if the us replaced the dollar with Bitcoin they could eliminate or downsize their military?
Doubtful
Doubtful
Conventional currencies (notably the US Dollar) are also backed by signifigant military (and thus electrical) power. I would posit that Fiat currencies are nessisary in some sense, but not that they are more efficient to maintain than cryptocurrencies. Cryptocurrencies tend to piggyback on the infrastructure and economy that are built on fiat (e.g. The internet).