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After the attacks on the United States on September 11, Mr. Bush similarly condemned the “axis of evil” among terrorist states and sent troops to bring down the regimes of Afghanistan and Iraq.

Other longtime supporters and advisers said the presidents are especially similar in their religious faith and their views on cultural and social issues.

William Clark, who was Mr. Reagan’s chief of staff during his governorship and became a state judge, said that “both are faith-based, high-principled and certainly believe there is a divine plan and we should follow it.”

The Rev. Jerry Falwell, the former Moral Majority leader, pointed to similarities in their “faith and values,” and said Mr. Bush was in many ways “a protege of Ronald Reagan’s.”

Another big difference between the two presidents is their speaking abilities, Republican strategists said yesterday.

“To put other presidents in the same category as Reagan in terms of expectations to effectively communicate is probably not fair,” said Christopher Ingram, a media adviser.

“Bush’s communications style is not his area of expertise. But even though he may not communicate what he says as eloquently as Reagan, he comes across as sincere and believable,” Mr. Ingram said.