Don Partridge (a parallel of Dan Quayle, apparently) was Vice President but he was very much a lightweight and described as "a nobody". He's not going to succeed Featherston (he's also not Jewish, thought I'd mention that as well - you might be thinking of Saul Goldman?).Right it wouldn't be Featherston , which brings up another interesting question, in a world where the CS isn't crushed in a second great war, who might succeed Featherston ?
I don't think it would be his vice Pres, who IIRC was Jewish, I cant see the CS electing a Jewish president but then stranger things have happened in RL.
If I had to bet on someone succeeding him, I'd say someone like Ferdinand Koenig (he's described as being the second-in-command of the Freedom Party) or Jefferson Pinkard. Herbert Walker, the Confederate Secretary of State, is also possible. Same with CS Senator Richard Russell, who's described as a staunch supporter of the Freedom Party.