Why mess around too much with a prize winning combination,eh?United States of America
Why change what isn't broken? (the name not capitalism ofc)United States of America
"the federation of free american communes, help help i'm being oppressed"A Leninist America will be the American Socialist/Soviet/People's Republic or something similar, perhaps the American Federal Socialist Republic or the Union/Federation of American Socialist Republics if you wish to keep the old name's emphasis on a union of constituent polities. A very moderate socialist revolution might just keep the same name. The Socialist States of America or what-have-you feels unlikely, however: it seems to me that any group of revolutionaries who can be bothered to change the name will want to replace the "state" bit with the more explicitly democratic "republic." The exception would be the anarchist revolution, which would probably take after Anarchist Ukraine and just dub their government the Free Territories or something similar.
"the federation of free american communes, help help i'm being oppressed"
Yeah, just replace the "help, help" with "fuck you"Isn't that basically just a TL/DR for the original Declaration Of Independence? Maybe minus the "communes".