Reposted because I first put this in the wrong thread:
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Same post-war alternate state names hypothetical for the two currently-known factions within the AUS:
American Union State (Hail Huey, I suppose):
Unitary authoritarian populist/vaguely right-wing dictatorship. Socially conservative, economically weird mix of capitalism and wackier straw-communist ideas. Likely to face strong opposition from leftist diehards and moderates who prefer the old regime, but stands a decent chance of suckering the lower classes with immediate economic relief. Considerably less stable long-term than most of the Syndicalist options or the old US. Corruption is endemic but ultimately dependent on Huey's willingness to allow it; the AUS is fundamentally a charismatic dictatorship and so a cunning Huey will be able to run his private kingdom effectively as he wishes.
United Christian States of America (Pelley and the Klan):
Federal (de jure)/unitary (de facto) fascist/corporatist totalitarian regime. Socially hyperconservative, brutal or even potentially genocidal to ethnic minorities. Economically corporatist with some promises of populism. Relies on diehard right-wing anti-Syndicalist loyalists, ties to religious conservatives, and megacorps to retain any function at all. Extremely susceptible to corruption. Voting takes place but only on a party-approved "racially acceptable" slate of candidates who profess belief in the correct branch of Christianity, and the franchise is restricted to white Christian males of appropriately Anglo-Saxon ethnic origin. Military will likely stagnate and decay within a decade, while receiving considerably more funding, proportionally, than even the greatest excesses of the OTL US military. Almost certain to fall messily a couple of decades down the line and splinter in a potentially-nuclear ideological and race war into a chaotic or even apocalyptic hellscape. These are the obvious bad guys.
And the USA...
United States of America (Democratic, American Cincinattus):
Presidential federal republic with a shaky and imperfect but functional democracy. Some restrictions on Syndicalist and right-populist parties remain, as well as an active Klan insurgency in the South, but the USA is broadly functional. Syndicalist loyalties in the Midwest likely remain strong despite federal propaganda, but the USA is likely slightly more left-wing economically and on some social issues than OTL (due to reflexive dislike of powerful political blocs in the new regime towards political violence, and the violent Klan insurgency), though it remains illiberal compared to the OTL USA. Black people have the vote, but parties to the left of Barack Obama are banned or heavily restricted, and parties to the right of 2012 general election Mitt Romney remain under close scrutiny due to the legacy of Long and Pelley. Politics is very concerned with proper decorum, and scruffy dress, lower-class manners and mannerisms, or bombastic attitudes like Huey's are likely to kill a political career.
Provisional Military Government of the United States of America (military junta, American Caesar):
De Facto authoritarian, borderline totalitarian unitary military dictatorship under permanent "state of emergency". All left-wing activism is banned, as is the right-wing equivalent. Mac Daddy ends up somewhere around George W. Bush on the dated left-right spectrum, and America's economy is wholly owned by the military-industrial complex. A constant military presence, funded by a massive chunk of GDP, continuously monitors the streets for "potential traitors" to Mac Daddy. MacArthur's portrait is on almost every wall and his corncob pipe is a fad with upper-middle-class youth. Lower-class resentment remains high, but so far the CIA and FBI are effective at rooting out potential Syndicalist sympathizers. Co-option of many Southern elites has left Mac Daddy's only problem down there a few lynchings and some ethnic cleansing of black people, but they aren't Army men so Mac Daddy's willing to let it slide to keep the KKK from stirring up more trouble than they're already causing or starting another civil war.