The problem with heavy editing of speech is exactly what you say. We find it difficult to dissociate what we see (somebody giving a speech) with what really is happening (editor piecing a narrative together, at the extreme splicing words together phoneme-by-phoneme). I found it edited too heavily, with tedious pacing, and pretentious graphics. Perhaps it's a good first introduction to Chomsky, and I'm happy if that audience finds it a fine movie!
Mr Chomsky gives a lot of interviews. Does he always require a veto power, how would that even work?