I'm not even sure you took the time to evaluate your own link. Let's take a look at that list again and how it correlates to last's years playoff teams.
SE #1
SF #2
CA #5
PH #6
SD #7
CI #11
KC #13
GB#14
NE #16
IN #19
DE #23
NO #28
9 of the 12 playoff teams we're in the top half of the league in rushing percentages. 5 were in the top 10, 3 in the top 5 and the top 2 were in the NFC championship game. The team #1 in rushing percentage won the Super Bowl. In contrast, there were only 3 playoff teams in the bottom half of the league in rush %.
Great QB's can carry a team but that does not signify automatic wins let alone a championship caliber team. Depending on the argument, roughly 15% (approx 5/32) of the NFL teams have an elite QB that can do so. The rest rely on a more balanced offensive attack which can be seen by the chart you posted.
Great QB's may make for better teams, but great teams win championships, not great QB's.
*Pop Quiz: Name one significant record breaking QB (yards, TDs) to win a championship in the year he broke those records.