@ganymede I will usually offer to fight anyone who uses total yards as a measure of team quality (I like Yards per Attempt and Points per Game better, of the stats you used).
These two teams are, however, two of the best teams in the league in many advanced stats as well. DVOA (Defense-adjusted Value Over Average, from www.footballoutsiders.com) has them listed as #1 (New England) and #2 (Philly) in weighted DVOA, although Philly was #4 before they thrashed the Vikings. By their ratings, New England has the #1 offense, the #20 defense, and the #2 special teams, while Philly has the #6 offense, #2 defense, and #20 special teams (and they just beat the #1 defense).
I think that this game has the possibility to be closer than most people imagine, but it really hinges on whether we get Good Foles (the NFC Championship game) or Bad Foles (about half the games thus far this year). I think that unless Foles comes out on fire (possible), the New England defense falls flat on their face (unlikely), or the Philly defense plays lights out (possible), New England wins this one by 10-ish. If Foles looks bad, the New England defense looks lights out, or the Philly defense comes out flat, New England wins by 14+.