From my little knowledge, I've come to expect a Confederacy that ultimately is allied with the US, Britain, and France.
It won't do well to be Isolationist, and I don't think it wanted to be. It would most want to trade, and it would expect to trade with France and Britain mostly. I never have bought this idea about huge revanchist ideals by the US against the Confederacy if it won. I rather think things will simply cool down after a decade or two, after a new generation is around who grew up with the new status quo. That being said, the US would be a good trading partner for the South, so it'd want to remain on good terms.
As to being a pariah, I severely doubt it. Brazil wasn't a Pariah, and I don't see why the Confederacy would be.