That's not necessarly true. The line always keeps Brady clean and their attack has always been pretty balanced between pass & run and they run effectively.
The Pats are just one hell of a team and have done it with different players which tells me that the coaching is supurb.
They have been the best TEAM for the decade, not the best collection of talent although they have had their share. This is the first year that Brady has had elite players on the offensive side of the ball (Givens and Branch were good while on the Pats but not great) and the results show. They are always well coached and the best prepared overall. BB has all of the personality and social acumen of an engineer but he and hos coaching staffs have been great.
That kind of depends upon how you measure it. Prior to Dillon, they really didn't have an upper-half-of-the-league running back. Really, a couple of their starters weren't even the upper half of second string running backs.
What has gotten Brady through is that he is good at BOTH the dink and dunk and the shootout, and several styles in between.
In contrast, Peyton Manning has been in a system that showcases his shootout style, but until last year he couldn't do the "small" game well, and it killed him in the playoffs. He still gets left pounding the turn when he is forced to play the small game...or when he throws a pick from being too aggressive for the defense he's facing.