I’m not sure if winning or losing reelection is a good test for how good or bad a president is. Circumstances have a major effect (e.g. the Great Depression with Hoover, the Iran hostage situation with Carter, 9/11 with G.W. Bush).
CTL, I disagree with your characterization of Nixon as right wing. He normalized relations with China and he instituted wage-price controls. Those are not right wing policies. IMHO, he was the worst president, probably ever. I don’t think it’s fair to blame Eisenhower for Nixon. Probably Johnson’s Vietnam debacle is most responsible for the rise of Nixon, and it’s a stretch to blame either of LBJ’s predecessors for the way he handled the situation.