In a half-hour special, “At Home With Rand Paul,” the couple are seen bird-watching in the woods, going to McDonald’s and, especially, talking about religion — their belief in traditional marriage and the senator’s call for a “spiritual cleansing” in America.

The show was an unusual moment for Paul, who has gained fame as a live-and-let-live tea-party hero closely aligned with the libertarian movement inspired by his father, former representative Ron Paul (R-Tex.) — and not as a social conservative...“I’m not advocating everyone go out and run around with no clothes on and smoke pot,” he said. “I’m not a libertarian. I’m a libertarian Republican. I’m a constitutional conservative.”