No it is not a running league.
It is a balance league, over the course of a season and playoffs, teams are going to present options that try and take away one aspect while giving another up. As a team, you have to have the balance to counter punch what they "give up" to force them to play honest and then you can play to your strengths. About once a decade there is a defense that is so dominate that they can smother an offense, but the currently landscape of the NFL, I don't think that defense is out there. 85 Bears, 01 Ravens come to mind.
Example. 49ers post season.
Against us they ran because we tried to take away the middle of the line and played coverage behind it. They exploited our weak edges and ran it down our throats. Atlanta, took away the edges and the Niners exploited the secondary. They are balanced enough (even with Smith at QB) to attack what you give them.. in other words, they can play multiple different ways to beat you.
My opinion, is that we by default are pass happy and try to force our will through the passing game no matter what the defense presents us. In 2011 we were dominate enough to do that most games until someone through pass rush and coverage took it away and we were beaten because we could counter that. This year, we tried to be more balanced, but we still we reluctant to beat teams on the ground, late in the season we could run, I think we should have ran more and help bolster our defense, shorten the game and rely on Rodgers late to win it.
My hope is that we follow the age old saying, pass it to score points, run it to win games. Basically build up the score and be able to run it effectively after that to win the game and rip the oppositions hearts out.
The league is constantly in motion, we call things like the read option revolutionary, but honestly, it is just another variation of days gone past. Zone blocking and man blocking come in and out of "style". 3-4 and 4-3 go back and forth as the dominate defenses.. it is curricular in nature. Teams that win consistently are able to play balanced offense, the can run the ball and set the tone and couple that with a fresher defense that generally ranks high because their offenses control the clock.
The recipe has been around for decades. It isn't the only way to win, but IMO, it is the most consistent and effective way to win.
"The oranges are dry; the apples are mealy; and the papayas... I don't know what's going on with the papayas!"