Now Disclosure Day, out June 12, tells the story of a planet on the brink of world war, where a furtive battle breaks out over what to do with a radical new truth: we are not alone.

Steven Spielberg’s “Disclosure Day” is one of those movies that sweeps you up from the start and rarely lets you down.

Disclosure Day tells the story of a U.S.-government led conspiracy to keep the existence of intelligent alien life a secret, and how those plans are upended by small determined group committed to “dis...