Seth Meyers contains multitudes: TV host. Writer. Day Drinker. Podcaster. Stand-up.

Seth Meyers had just finished his first week back on-air after a three-week break for the Olympics when we connected by phone. There’d been major news in the presidential campaign while the “Late Night With Seth Meyers” host had been off-air and unable to talk about it.

“It’s always hard to be off for three weeks because we love what we do,” says Meyers. “The first week of our break — where it was post-debate and everybody was spinning out — that was really hard; whereas the last two weeks...