There are tons of alternate history stories where the Civil War came out differently. If you're interested, look at Harry Turtledove's "American War" series. In it, the Confederacy wins, Lincoln and the Republicans are disgraced, a second war is fought in the 1880s which the South also wins with British help. The parties in the US are the Democrats and the Socialists, with the administrative capital in Philadelphia. When WWI rolls around, the Confederates side with the Brits and the Union sides with the Kaiser. The Union and Germany win. And more...
The actual loss of the Civil War by the North(ern aggressors) is detailed in Turtledove's book, "The Guns of the South." FYI, it occurs because some pro-Apartheid South Africans in an alternate future take a trainload of AK-47s and ammo for them to General Lee. A very interesting (if implausible) read, which I found better for its analysis of a Southern victory's effects than for the technological/sci-fi aspects.
For those Yankees that may disagree about who started the War, please note that I used to be one of you. A fair analysis of the facts leading up to the War of Northern Agression, which was instrumental in the destruction of the federalism set up with great care and deliberation in the now-dead U.S. Constitution, shows that events were very much different than the history books represent. Oh, and BTW, if you Yankees ever try to repeat that event, the thing will turn out quite differently. The South is far more populous, industrialized and armed than 144 years ago.