The Patriots lost yesterday's game because of mistakes, not because of Belichick. The team was put in positions where they could have capitalized, and they didn't.
There's a nice summary of the play-by-play here:
Things that Belichick didn't do:
-Belichick didn't commit a roughing the passer penalty (of the dumb, you should be more alert sort) like Ty Warren did
-Belichick didn't neglect to hit the nearest receiver (Brandon Marshall) on Rob Ninkovich's tipped pass so they couldn't break up the interception
-He also didn't miss Moss open on the 15 yard hook towards the sidelines on 3rd and 4 to start the 3rd quarter
-Belichick didn't miss Moss wide open in the end zone on the best run play of the day in the middle of the third quarter (Welker as wideout, Moss in twins bunch, Welker gets the corner to bite on the curl, defense falls asleep and rolls safety help to the wrong side of the field)
-He didn't miss the field goal that would have been the difference in the game
-He didn't tip the ball away from teammates with one hand instead of trying to catch it or tip it towards teammates like Wilhite did, thereby negating an interception and extending a scoring drive
-He didn't taunt Eddie Royal
-He didn't miss Welker wide open with nobody between him and the end zone
-He didn't get beat on a strip sack by Vonnie Holliday like Mankins was
Based on his keeping players on their toes by constantly quizzing them on situational football, the players should have been prepared to think on their toes when Denver shifted formations between Wild Horses and singleback.
I think it's important to remember: BELICHICK DIDN'T PLAY
In my eyes, this loss falls squarely on the players for not making the most of their squandered chances, especially the potential turnovers that could have either broken the game open or prevented Broncos' scoring drives.