USA Network has its own little "promoverse", a TV dimension in which all the characters from their shows interact with each other.
Although many of the shows invoked are to be found on Earth Prime-Time, these promotional blipverts can't be considered part of the main Toobworld. That's because 'Monk' and 'Psych' both interacted with 'The Dead Zone' in other promotional interstitials. And 'The Dead Zone' had a US President and Vice President differing from the established holders of those offices.
At any rate, USA Network is now showing a new promo in which various characters from other shows celebrate Adrian Monk as his series enters its final year......