A Whig-ish party in the Clay mold, probably led by Alexander Stephens at first, and a Jacksonian/Jeffersonian party.
There probably wouldn't have been time for a party system to develop, as the CSA would have likely crumbled in 10 or so years.
What would lead you to believe this? Of the five richest states in 1860, New York was fifth, and the other four were Southern states. It obviously depends under what scenario the war ended and in what year, but I can't see a CSA having won in 1862/63 with recognition from the United States, not lasting for a while. Given the immediate support they would have gained from Britain and France, who were undergoing a cotton shortage at the time, I think the South could have easily rebuilt itself from the first two years of war.
The Confederacy was bound to fail, there was little to no central authority in the Confederate States, I mean, there were talks of secession from the Confederacy BEFORE the war even started. The States merely couldn't get along with themselves, for example, my great and happy state of South Carolina believed since they seceded first, they should have a larger say in the new nation. Do you think the other states would have liked that? Jefferson Davis had no control over any of the states.
Simply put, the Confederacy died of "state's rights."
