But many were basically satisfied with his policies. The tax bill was mildly positive, they said. Several had a bit of extra money in their paycheck. They liked that he was trying to address illegal immigration. Only a few regretted their vote.

Voters said they still liked Mr. Obama and that they voted for Mr. Trump because they didn’t want to cast a ballot for Hillary Clinton. But they were still open to voting for Democrats — if the party could come up with the right candidates. For the most part, the midterm elections were not yet on their radars.

“Honestly, it hasn’t crossed my mind really at all,” Ms. Baker said, when asked about them.

Several voters said they chose Mr. Trump for the same reason they chose Mr. Obama: a deep craving for change and disgust with both political parties.

Charlotte Griffin, the mayor of Bear Grass, N.C., a town of about 80 people in the eastern part of the state, said her vote for Mr. Trump was more an act of desperation than a positive political choice. She had grown furious with the national political class — and what she saw as its wealth, ignorance of ordinary people’s lives and inability to get anything done. It was the first time she’d chosen a Republican in 50 years of voting. Her county flipped to Mr. Trump after choosing Mr. Obama twice.

“Did I really like Trump? No. I still don’t,” Ms. Griffin said in January. “But at least I thought we might move. We were in a stalemate. We were at dead center zero. We were just sitting there spinning our wheels.”

In January, Mr. Trump was defending himself after an uproar over vulgar comments he was said to have made at a closed-door immigration meeting. When asked again in April how she felt, Ms. Griffin said Mr. Trump was still “severely testing my sensibilities.”