The Kents both voted for Mr. Trump in 2016 and 2020, but they are worried about his legacy of divisiveness, in America and the G.O.P. “I think he’s ruined the Republican Party,” Ms. Kent said. A poll this week by Christopher Newport University found that majorities of Virginia voters supported liberal policies, including “Medicare for all,” a path to citizenship for all undocumented immigrants and a Green New Deal to tackle climate change. Larry J. Sabato, the director of the Center for Politics at the University of Virginia, said the Republican candidates for governor this year fit into three categories: “Trumpy, Trumpier, Trumpiest.” By embracing the former president, who lost Virginia by 10 percentage points last year, Republicans are trading electability in the general election for viability in a primary. “They play the Republican nominating game very well, but they go so far to the right that most people find them offensive,” Mr. Sabato said. “It’s not respectable anymore for well-educated people to identify with the Trump G.O.P.”