I have no problem with people criticizing Belichick as long as they can put in context and support their claims. Drafting and personnel is the easiest example, he has done poorly drafting WRs and CBs but if you look at his record overall it's as good as anyone Despite always drafting at the end of the round. On the other hand his ability to farm the personnel market beyond the 6-9 draft picks you have is better than anyone. His championship rosters are littered with pickups he made outside the draft, and his first round record is exceptional.
I also get it when people question in game decisions and playcalling, sometimes you wonder why they do what they do, but in the end their record is the best marker for in Game Decision making and no one wins more in this era, and that's a long run.
I was puzzled by his decision to kick in OT but was the right one imo. The Patriots had 1 TD drive and the OL struggled mightily throughout the game, on the other hand they stuffed the Jets offense in the 4th and one stop would have put the game on Gostkowski's foot. Even if they hold them to the FG the Patriots could have played 4 down offensive ball on the counter drive. They were 2-2 kicking off in OT and given the way that game had gone the decision made perfect sense it simply didn't work.
Belichick makes mistakes, so does Brady, but there is no better coach or QB in the game since the century began, that's the context.