But the political issues, they said, they knew only from television. Their closest interactions with Americans have been largely with the members of Johnson Ferry Church, like Mr. Stocks. It was members of the church, most of whom are Republicans, who outfitted their tiny apartment and showed them how to navigate America’s cavernous grocery stores.

They also steered Anwar through the health care system as he prepares for heart surgery.

“I have been here for four months,” Anwar said, “and I have seen nothing except goodness.”

Of the politicians, he said he was not afraid: “I fear only God.”

The arrival of the 10,000th Syrian refugee last month fulfilled a goal for the 2016 fiscal year that President Obama announced last September. Though they are a small fraction of the millions who have fled Syria, the concern among many conservative voters that the refugees could incubate domestic terrorism remains potent.

Gov. Robert J. Bentley of Alabama and Gov. Greg Abbott of Texas have filed separate lawsuits challenging the Obama administration’s refugee policy, but those efforts have sputtered in the federal courts.

The Rev. Franklin Graham, a son of the Rev. Billy Graham, has said that he agreed with Mr. Trump’s idea of a ban on immigration by Muslims. In an interview last week, Franklin Graham said that he remained concerned about gaps in the screening process for refugees, and has argued that the United States should rely on aid efforts closer to the Middle East to help resolve the humanitarian crisis.

“We’re not just leaving them on the side of the road, but we also care for this country and the people of this nation,” Mr. Graham said. “We have to put America first.”