Those southern so-called conservatives voted for Bryan, Wilson, (mostly) Smith, FDR, Truman, Stevenson, and even largely for LBJ. They got Carter elected and even helped put Clinton over the top twice.
The racists you refer to were conservatives, pally boy. The Republicans of today. You morons keep fucking around with party labels of years ago that no longer apply.
Carter was a southern home boy. Conservatives didn't support him. Clinton crushed his opponents in both elections and the Southern conservatives or even the South in general, had ZERO influence on that.
FDR won nearly EVERY state in EVERY election, idiot. Truman lost most of the Deep South in 1948. Goldwater carried the Deep South in 1964.
Do a little homework, pally boy, before you try to equate either the Party of Lincoln to today's Republicans or the Democrats of the same period to modern Democrats. If you do, you're either willfully ignorant or massively stupid. So, run your bullshit elsewhere. You get called on it here.