Mr. Jeffress, another core member from the campaign board, has been one of Mr. Trump’s most reliable evangelical advocates, regularly appearing with him in Trump Tower in New York and then in the White House.

“I can’t look into the president’s heart to know if he really personally believes these positions he’s advocating, or whether he thinks it’s smart politics to embrace them because of the strong evangelical influence in the country,” Mr. Jeffress said in an interview. “But frankly, I don’t care. As a Christian, I’m seeing these policies embraced and enacted, and he’s doing that.”

Mr. Jeffress, who once said President Barack Obama’s politics could lead to the rise of the Antichrist, said the issues that evangelicals discuss at the White House “go beyond what most assume,” including opioid abuse and criminal justice overhaul. He and Mr. Moore are sympathetic to the Deferred Action for Childhood Arrivals program, known as DACA, that shields young undocumented immigrants, which is often viewed as a progressive cause.