That's basically the question. I've seen allot of CSA victory alternate histories, and from the ones i've heard of, the CSA always seems to continue to have a federal government like the US.
IOTL, there were CS politicians who opposed the Davis administration on the grounds that war-time measures (suspending habius corpus, the draft, seizure of supplies etc.) were against states rights.
If the CSA won, would they remain a confederacy? If the CSA remained a confederacy, how long would would the nation have survived, let alone even successive to begin with? Would a confederation government have compromised industrialization, economic competition, political power, etc? Would the CSA have balkanized or gradually adopt a more federal government?