What would those be? If CIA and such has some special "psychological methods", how comes they never actually used it to achieve anything related to their direct job? I mean, let's embrace the conspiracy and assume they have these spectacular methods that can make anybody think anything and they are willing to use it on anybody, including Americans. Why won't they use it on Taliban or Iranians or Hezbollah and make them love America and crave McDonalds burgers and Starbucks coffee? Why didn't they use it for anything, even if just to get promoted and look good on the annual report?
I think much more realistic hypothesis would be that they have no magic spectacular "psychological methods" at all and are as (in)competent in persuasion as a random politician is, and are forced to muddle through with what they got, and they need "black sites" so that public wouldn't actually learn how low their success rate is and how lucky we are because their opponents aren't exactly geniuses either.