Ideally all countries move to the bitcoin standard.
In your mentioned case, if the country is strong enough providing an obvious threat, yes, the agreements would be made, bonds and Bitcoin would be sold, money could be borrowed from allies if needed, and the Bitcoin standard country could go to war.
Although printing money may seem like infinite resources at first, it will soon cause an economic burden on that country, hyperinflation, poverty, low quality goods, and the country would ultimately cause its own demise.
The hard money country could have equal resources, they would just have to manage the funding differently.
That is just a hypothetical scenario, it would depend on a lot of other factors..