The public hasn't trusted the US government in a long time, probably since Nixon. Recent examples of lies are Iraq WMDs, Iraq involvement with 9/11, Afghanistan progress, and NSA surveillance. Follow that with persecution of whistleblowers and the government seems like it's gone rogue to many.
>Americans were skeptical about the "lone gunman" theory almost immediately after Kennedy was killed. In a poll conducted Nov. 22-27, 1963, Gallup found that 29% of Americans believed one man was responsible for the shooting and 52% believed others were involved in a conspiracy. A majority of Americans have maintained that "others were involved" in the shooting each time Gallup has asked this question over the past 50 years, except December 1966, when exactly half of Americans said someone in addition to Oswald was responsible.