The strange bedfellows of science and religion are bunking together on the new CBS series “Evil.” Created by Robert King and Michelle King, the husband-and-wife team behind “The Good Wife,” the drama (Thursday at 10 p.m.) pairs a psychologist who leaves her job as an expert witness in the New York DA’s office with a Catholic seminarian to examine the church’s backlog of unexplained mysteries — miracles, demonic possessions and hauntings.

“It’s a little Flannery O’Connor, a little Graham Greene, and more,” says Robert King. “What we wanted to avoid was ‘The X Files,’ certainly; what the supernatural is, or flying saucers.”

To sell this obviously out-there idea, the Kings have paired two appealing actors — Dutch actress Katja Herbers (“Westworld”) as Kristen Bouchard and “Luke Cage” star Mike Colter as David Acosta, TV’s hot priest of the moment.

“If the church wanted to bring someone on to look at potential possession and ask, ‘Is that mental illness?,’ they would have to go to a mental health professional,” Michelle King tells The Post.

In casting Herbers, the Kings learned more about the actress from looking at work performed in her native country, where she has done a lot of comedy. “Katja can do slapstick. She does a lot of falling down,” says Robert. “She can be tough but there’s a sweetness to her face. You can imagine someone being underestimated all her life. That’s what we reacted to. Comedy, but also a face that you might underestimate.”

Colter played drug dealer Lemond Bishop on “The Good Wife” and the Kings wanted to cast him against type as Acosta, a former journalist. “We wanted somebody who had exhausted all the other avenues in his life,” says Robert. “There are very few taboos left on TV and one of them is, especially with the Catholic Church scandals, what is that life even about? Also, celibacy is a real turn-on in that romantic-comedy kind of way.”

With Bouchard and Acosta representing two ends of the science-religion spectrum, the show develops tension from the possibility of the characters getting together. Acosta has not taken his final vows and Bouchard, a mother of four lively girls, has a husband who’s off hiking somewhere.

“We are sort of drawn to each other because we disagree,” says Colter. “And maybe there’s some sort of chemistry that may or may not play out. But what we love about it is that it’s an intellectual debate. My character picked her because she seems approachable. But also, she knows what she’s talking about. I think David builds his team based off of people who are really qualified.”

In the pilot, Bouchard and Acosta dealt with demonic possession. In the second episode, the issue in question was miracles. Future episodes explore psychotic behavior and, for Halloween, “Evil” will have an exorcism.

“It just seems like we’re in a moment of time in this country, maybe in the world too, where, people are really struggling with. ‘What is our future about?,’ ” Robert King says. “What is the next thing that’s going to hit us? I think we wanted to focus on that.”