So we have a slightly angrier Union and the Tammany Nietzsche that they blame for getting them there. Only he can fix it will be the battle cry of a lot of New Men.
Which is something they'd totally do. The CSA will be a horrible place to live for a long time but at least the people running it will have some idea of how little they matter.
Given that the British stood idly by while the Hondurans shot Walker, you have to wonder how they're going to react to the Confederacy taking its show on the road.
I would imagine that the Union, France and the British would spend the twentieth century pitting a collection of fiefdoms against one another. The Great Game would be in what Mencken called The Hookworm Belt.
Which again brings me to my point: the worst thing they could do is win the war. Their ideology blinds them to obvious facts that will do them harm later on....which, given human nature, means doubling down on the things that make other nations see them as barbarous oafs who need humbling.