Here are two clips from the series where you can actually hear Jon Ronson explaining what's going on. The documentary aired on Channel 4 in Britain and was made up of three parts, "The Men Who Stare at Goats", "Funny Torture" and "Psychic Footsoldiers." Above is a clip of a man claiming to have stared down a goat, and below is another clip from the documentary where the Predator is being used. Followed by a clip of George Clooney demonstrating the same weapon from Goats.
Compare The Two: