If you have a deep problem with Slavery, you have a deep problem with any CSA victorious timeline. Here's why. It's from a speech by Alexander Steven from March of 1861, before a good section of the upper South seceeded and before he got himself elected Vice President of the Confederacy (so you don't get to call him some radical nobody listened).
"The new Constitution has put at rest forever all the agitating questions relating to our peculiar institutions—African slavery as it exists among us—the proper status of the negro in our form of civilization. This was the immediate cause of the late rupture and present revolution. Jefferson, in his forecast, had anticipated this, as the "rock upon which the old Union would split." He was right. What was conjecture with him, is now a realized fact. But whether he fully comprehended the great truth upon which that rock stood and stands, may be doubted. The prevailing ideas entertained by him and most of the leading statesmen at the time of the formation of the old Constitution were, that the enslavement of the African was in violation of the laws of nature; that it was wrong in principle, socially, morally and politically. It was an evil they knew not well how to deal with; but the general opinion of the men of that day was, that, somehow or other, in the order of Providence, the institution would be evanescent and pass away... Those ideas, however, were fundamentally wrong. They rested upon the assumption of the equality of races. This was an error. It was a sandy foundation, and the idea of a Government built upon it—when the "storm came and the wind blew, it fell."
Our new Government is founded upon exactly the opposite ideas; its foundations are laid, its cornerstone rests, upon the great truth that the negro is not equal to the white man; that slavery, subordination to the superior race, is his natural and moral condition." - Alexander Stevens, March 1861
The South seceded over slavery, fought for slavery, and were willing to die for slavery. And this isn't Gone With The Wind - 12 Years A Slave is the dramatic depiction that comes closer to the mark. This is our original sin as a nation, our version of Orwell's "a boot in a human face, forever" that the South is founded on.
Because I've used it twice in the last week, I'm dubbing this The North Korea Conunudrum, to be applied to any timeline with the "we all cool know, blacks and whites love us some Confederacy" crap in it. Any victorious CSA would have been founded on the willingness to fight a war to protect the right to treat the ancestors of a large number of its citizens like they were in a North Korean labor camp for the profit of the remainder. They did, and continue to, deploy all the language of the Enlightenment to enshrine this decision as righteous. (Think I'm exagerating? Just a few days ago on these boards, someone described Sherman's freeing of slaves along his line of march as a "rape.")
That's some heavy lift, almost to the point of "then we deploy the steampunk mindcontrol lasers and all the brown people in the CSA start loving Gone With The Wind!" Any future CSA is going to have far more of a racial caste system than OTL South (and north for that matter). Becuase it was always about slavery, and subjugation, and dominance.
Edit: Im thinking, and I realize that maybe a better shorthand for the racial caste system baked into the CSA would be The Country-Fried Draka Problem? Keep it more folks'y, y'all...