Strange Invaders (1983)

Charlie's ex-wife disappears, and he goes to where she grew up--a rural town in the midwest--to look for her. But, surprisingly, nobody knows about her or any of her many relatives, the Newmans. He meets aliens; but when he contacts the FBI, they don't believe him. He tells his story to a tabloid; and suddenly, he is chased by the aliens.

The movie Strange Invaders, released in 1983, features 1 song from R.E.M..