In Bibb County, Ala., on Tuesday, a Democrat named Walter Sansing was in a race for county commissioner against a Republican named Charles Beasley, who was on the ballot despite the inconvenience of having died several weeks earlier. Mr. Beasley won.

That is what kind of Election Day it was in the South. Elsewhere Republicans may be wailing and gnashing teeth, but in the mid- and Deep South states, they had yet another cycle of unchecked domination.

For the first time since Reconstruction, Republicans took over the Arkansas legislature, and won the state’s last United States House of Representatives seat held by a Democrat. North Carolina elected a Republican governor and took over at least three Congressional seats. The last Democrat in a statewide office in Alabama was defeated. In most Southern states, the margins of victory for Mitt Romney were even larger than the lopsided margins for John McCain four years ago.

“It was kind of weird on Wednesday for Republicans here,” said Jason Tolbert, a conservative blogger and a columnist for The Arkansas News Bureau. His conclusion: “In Arkansas, we’re a right-of-center state in a nation that’s drifting further and further to the left.”

Despite the local victories, Republicans in the South are aware that many of the post-election analyses have found the party’s image problems to be in the approach and the appeals that have led to its near total victory here. Southern Republican politicians continue to cruise smoothly to victory on the votes of white, socially conservative evangelicals. While some leaders have succeeded with a more centrist platform, like Gov. Bill Haslam of Tennessee, a large part of the Southern electorate still rewards politicians who promise to crack down hard on criminals and illegal immigrants, assume a defiant tone when speaking about the federal government and dismiss the idea of gay rights out of hand.

Nationally, this approach has been putting up diminishing returns.

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“If the Republicans don’t adapt and the Democrats become the dominant party, the government is going to start imposing policies on the Southern states,” said David A. Bositis, a senior research associate at the Joint Center for Political and Economic Studies.

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