Honestly I think Joe friggin McCarthy could've taken on Truman in 52; approvals at 25%?! Come on!
Anyway, why does everyone seem to think he doesn't pick Nixon for VEEP? Nixon was admired by both factions of the party and would help Ike or Taft grab all the young men coming home from WW2 or Korea.
IMO, he'd help with the internationalist wing a lot, given Nixon bridged the gap between the old school anti-war conservatives and the moderate internationalists, a domestic conservative and an internationalist (of course he would moderate a great amount later in his career).