Vice President Kamala Harris will campaign alongside Liz Cheney, the most prominent Republican to cross party lines and endorse her, on Thursday in Wisconsin at a symbolic location: the birthplace of the Republican Party.

Ms. Harris and Ms. Cheney plan to appear together in a joint appeal to the sort of Republican voters who may retain conservative positions but are repelled by former President Donald J. Trump and his politics. Their event will take place in Ripon, Wis., the site of a series of meetings that helped lead to the foundation of the G.O.P. in 1854.

The two women agree on little politically beyond their distaste for Mr. Trump. They had next to no relationship when they overlapped in Congress, though they did speak on the phone about Ms. Cheney’s endorsement earlier this summer.

The endorsement by Ms. Cheney — and that of her father, former Vice President Dick Cheney — is meant to show the breadth of Ms. Harris’s support, a point that her running mate, Gov. Tim Walz of Minnesota, made in his debate against Senator JD Vance of Ohio on Tuesday night.

“I’m as surprised as anybody of this coalition that Kamala Harris has built, from Bernie Sanders to Dick Cheney to Taylor Swift and a whole bunch of folks in between,” said Mr. Walz, name-checking the left-wing senator from Vermont and the world’s biggest pop music star. “And they don’t all agree on everything, but they are truly optimistic people.”

Ms. Cheney is a Wisconsin native who grew up in Virginia and represented Wyoming in Congress for six years. After Mr. Trump tried to overthrow the 2020 election results, she disowned him and participated in the House select committee investigating the Trump-inspired assault on the Capitol on Jan. 6, 2021. She so alienated fellow Wyoming Republicans that she was run out of office by a primary challenger loyal to Mr. Trump.

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