Just letting you know, this question would be better suited to /r/HistoricalWhatIf :) In /r/AskHistorians, we can tell you what happened, but not what might have happened. Thanks! :)
Considering the south was being supported by England, they very well could have came in and tried to retake the entire country again.
Or, I believe, the CSA would have ended up being much more wealthy than the USA because of the cash crops at the time.
Who knows