There's an interesting story just out on Mormons and the FBI. Not exactly spying...supposedly.
http://www.atlasobscura.com/articles/White House ... i-recruitsSome surprising (to me) stories:
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But it wasn't until the 1970s that outsiders started paying close attention and turning up connections between prominent Mormons and the CIA, Watergate conspiracy, and other government activities. One 1975 report on the CIA, for instance, included the tidbit that one Mormon-owned PR firm made some “overseas offices available...as cover for Agency employees operating abroad.” And in the 1980s a BYU professor told the authors of The Mormon Corporate Empire, a 1985 social science study on the church and its power, that “we’ve never had any trouble placing anyone who has applied to the CIA."
"Every year, they take almost anybody who applies," he said.
It was around this time, too, that two cases put the Mormon members of the FBI dramatically into the public eye. In 1984, FBI agent Richard W. Miller was arrested; he later became the first FBI agent ever to be indicted for and eventually found guilty of spying for the Soviet Union. (Miller wasn’t the first Mormon to be in this position, though: earlier in 1984, a Mormon who had worked in Army intelligence was arrested for passing secrets to the Soviets.) Miller had been recruited at BYU in the 1960s, the New York Times reported. At the time, the FBI had been particularly interested in candidates with strong Spanish skills, and Miller had minored in the language. By the 1980s, though, he was under close supervision at work and had started dabbling in petty theft, when a Soviet woman approached him.
