Among the many archival materials excerpted in Sam Pollard’s “MLK/FBI” is a 1964 televised interview with the Rev. Martin Luther King Jr., conducted by journalist Gay Pauley. With a superior smirk and galling bad faith, Pauley asks King if his code of nonviolent resistance has nonetheless produced a “crisis atmosphere,” one that has ultimately damaged its own cause by incurring bloodshed and stoking white resentment. King’s response is more measured than the question deserves. “The only way people can grapple with their prejudices is to admit that they have them,” he says, tactfully declining to state whether his interlocutor might be one of those people.