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But despite — or possibly because of — those disagreements, their partnership was robust, Mr. Aldous said.

American conservatives still idolize Reagan and Mrs. Thatcher. The Heritage Foundation, a conservative think tank, even hosts the Margaret Thatcher Center for Freedom.

Ted R. Bromund, a senior fellow at the center, said Mrs. Thatcher, more so than other world leaders, struck a chord with Americans because she was an enthusiastic supporter.

“She said she liked Americans and the United States, and she said so repeatedly, publicly, in all sorts of different contexts,” he said. “I really have a difficult time thinking of other world leaders — even ones who were well-inclined to the United States — who were so open about their admiration and respect for the United States.”

Americans repaid her with affection. She has won accolades from Congress, earned Hollywood treatment in a 2011 film that won actress Meryl Streep an Oscar for her portrayal of the prime minister, and became a standard for American female politicians.

The adoration was not matched in her home country.

Margaret Thatcher was a very divisive figure in the U.K., but not so across the Atlantic, where her popularity has endured decades after she left office,” the BBC said in a story Monday after her death, posing the question of why that was.

Analysts said one reason is that Americans were never immersed in her domestic fights such as the poll tax — a controversy that spawned riots in 1990 and helped end her tenure.

Instead, Mr. Bromund said, Americans saw the broad outlines of a woman who took charge.

“Americans, particularly in the early ’80s, saw someone who was leading a country that had economic problems like the U.S. and was willing to make tough decisions,” he said.