Plot hole: It makes no sense why the police haven't done the most obvious thing and checked for fingerprints on the murder weapon (the knife). It would not only back up the detective's claim that he did not stab the victim (he never touched the knife) but would have given the police a major clue to finding and prosecuting the murderer.
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Trivia
The fictive movie producer's name in this episode is Hoberman, and the lead actor is called David Ruskin. Both characters are named in honor of Monk executive producer David Hoberman. See more...
Updates: 
Series 2
Mr. Monk Goes to the Carnival (season 1, episode 5)
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