Based on the reading I've done, the degree to which the national Democratic Party "shunned" segregationists was VASTLY overrated (they more just stopped catering to them as a necessity), and they still threw them some bones. So, I'm not sure this ticket really has much of an effect on where the parties went, honestly. Also, I'll go with a similar map with some increased margins in the Southern states for the Democrats and maybe the closest Northern states flipping (but that's no guarantee).
Interesting, so if Carter wins, who runs in 1980? Reagan/Schweiker? Assuming oil shocks and 1979 hostage takings happen as IRL. Is the migration to the ideological extremes culminating in 2016 merely delayed, not prevented or reversed?