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... It may have been President Trump's support, including a big rally last week in Myrtle Beach, South Carolina, and a tele-rally Monday night, that made the difference. After Lindsey Graham's death last month, the president had urged the state's governor to appoint the senator's sister to Mr. Graham's seat for the remaining months of the current term, then encouraged her to run in her own right in November.

The new Senator Graham, a political novice, stumbled in her Aug. 18 debate against Rep. Ralph Norman, the second-most vote-getter in the first round of primary voting two weeks ago.

"I'm not that informed on national security," Ms. Graham said to audience boos when asked about U.S. policy toward Taiwan.

Mr. Trump was undaunted, putting his political reputation on the line. ...