I'll play devil's advocate myself here and say possibly better than in OTL. The white south, if victorious, doesn't suffer the humiliation of defeat and reconstruction, and percieving 'dem uppity blacks' as lording it over the defeated white people. I think what I have just mentioned is perhaps the central reason for much of the hardcore hatred of black people in the south. With a southern victory, you get no KKK, and most blacks simply remain on the plantations. I can actually see slavery being abolished as early as the 1890's, on account of poor white southerners electing as populist-esque candidate (Ben Tillman?) on the back of attacking blacks and the Bourbon classes as being interlinked to their economic misery. Tillman sees slavery as being the primary tool of the Bourbons, and abolishes it, instituting a form of segregation instead. This carries on for a good long time, probably into the 1980's at least. However, international sanctions (probable) lead to its abandonment in the period ranging from the 1960's to the 1990's. In the CSA, you wouldn't have the same level of fear that was present in South Africa, which helped obstruct the end of white minority rule, for two reasons. Firstly the smaller black population, and secondly, the sense that blacks weren't that culturally different, which they were in Africa.