An often ignored or forgotten part of history is culture. IOTL, American culture is broadly similar to the rest of "Western" civilization, but has its own foods, customs, music, and other cultural aspects. Much of our culture has undoubtedly been affected by our history, and without the devastation of two world wars, American culture is very different from European culture.
However, in a world with an independent Confederate States, American culture is almost certainly going to be very different from the way it is IOTL. While the United States is unlikely to become anything other than a predominantly Anglophone, Christian nation, pretty much every other aspect of our culture will be different. To use an example, with a much smaller "black" population, jazz is unlikely to exist at all, ultimately leading to no (or a vastly different) rock and roll.
How is American culture likely to evolve if the Confederacy wins its independence? And, for that matter, what is Confederate culture likely to be like?