Now would this be like C.S.A. The Movie or the North and South are split? Lots of things COULD have happened. My top prediction is slavery would have ended by the turn of the century then a separate CSA would have functioned like a hybrid Protestant Christian Fundamentalist society with many agrarian elements of Latin America where only a few would be educated, etc.
I see slavery lasting until the 1920s or 30s, but I think you're right that the CSA today would be an English-speaking Protestant version of a Latin American banana republic.