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Some Republicans wonder what will happen to the party’s electoral coalition if Rudolph W. Giuliani is the nominee. The former New York mayor has been ambivalent about the prospect of overturning Roe v. Wade and calls the decision to have an abortion “deeply personal.”

“Nominating Giuliani would seriously jeopardize the support of evangelicals and pro-life Catholics and would trigger a fight within the GOP on the pro-life plank and other matters related to social issues that would cripple the party,” Mr. Bopp said.

But Gary Jones, the new chairman of the Oklahoma Republican Party, said the base probably would remain intact because “whether the nominee is Mr. Giuliani, former Massachusetts Governor Mitt Romney or former Tennessee Senator Fred Thompson, he would be more attractive to social and religious conservatives than any likely Democratic nominee.”

Mr. Anuzis said if Mr. Giuliani won the nomination, it would not threaten the support of religious and social conservatives because they understand the most important thing is the president’s appointing the right kind of federal judges. He noted that Mr. Giuliani has assembled conservative advisers on judicial appointments.