I guess I've become enough of a football sperg over the years to actually enjoy a great defensive game like that...
That interception by the Patriots was due, they were working for that exact scenario throughout the game.
It's funny though. Most coaches are playing... well not even checkers. Candyland might be a good analogy, you just do what the card says. When in situation X do Y.
Bellichic (Yeah I can't spell his name, it's his fault for having such a fucking weird name) is playing 27D chess. OK probably just 2d chess. He's doing stuff early in the game setting up for situations later. It looks like luck, but it's too consistent. Oh and he probably also is the actual devil, because that's the only explanation for how the dude somehow wins coin tosses at a rate much higher than 50%.