Sorry, been busy lately and also been reading.
I think that a big difference between our game and Murky's is how we approached it. It seems to me that we looked at the game as two phases, the rush to PA, during which our wars served to compile the turns necessary to achieve an early PA, and I think we achieved that quite well. We then went on to war in order to achieve the domination we determined to be our fastest path to victory.
In Murky's game, they were more, what I would call, integrated in their approach. They also followed a path to an early PA but used their wars more effectively to their desired end game by helping the Mongols to take cities prior to their PA.
Thus, they had fewer cities to take once the PA was signed which resulted in a faster victory. A well played game!