WASHINGTON — Most Americans — Catholics and non-Catholics alike — want the next pope to allow priests to marry and women to join the priesthood, a major break from church rules and the judgment of Pope John Paul II, according to an Associated Press poll.

The charismatic pontiff was held in high regard by a majority of Americans and most Catholics, with many suggesting that John Paul will be remembered as one of the greatest popes. For many, the man who led the church for 26 years is the only pope they know.

But affection for John Paul has hardly eliminated the cultural divisions between the United States and the Vatican over the ordination of women, celibacy for priests and the role of lay people in the church.

"He was admired by people who disagreed so consistently on his views," John C. Green, a professor at the University of Akron in Ohio, said of the pontiff who died Saturday at 84.

The sex-abuse scandal that has rocked the church has left many Catholics and other Americans convinced that the next pope must do more about predatory clergy. Eighty-six percent of Americans and 82 percent of the Catholics surveyed said greater steps were imperative.

Perhaps partly as an outgrowth of the abuse by priests, some also are calling for a larger church role for lay people, a notion that Rome has rejected. In the AP-Ipsos survey, 62 percent of Americans and 63 percent of American Catholics favor a greater say for lay people.

"The heart of the crisis has passed," said Martin E. Marty, a religion historian and professor emeritus of American religious history at the University of Chicago. Marty suggested that the bishops and the church still need to win back the confidence of Americans, and "the bishops and the church have to grasp this soon enough."

Changing views about the role of women and the predominance of married clergy in other faiths may help shape the opinions of Americans and American Catholics toward the Vatican's rules on ordination and priest's celibacy.

Catholics in the United States number 65 million — out of about 1 billion worldwide — and Jim Guth, a professor of political science at Furman University in Greenville, S.C., said American culture has had a significant influence on church members here.

"Catholics have considerable differences with Rome," Guth noted.

Sixty-nine percent of Americans and 60 percent of U.S. Catholics said the next pope should change church policies to allow priests to marry, while 25 percent of all Americans and 36 percent of Catholics said they preferred no change.