With the drinking game, are these the historical events?: Fox Annoys Monk- The Kitsune and Aoki ancestors split Sword Kills Fox-The death of Gengoro(leader if Kitsune) by an Asukai Monk stops Sword- Seidou wins over the Asukai
Yes! Although the last one is a little more loose - But you're still right.
The Aoki Clan (Monks) as a whole were the first to co-sign with Seidou Shodai, and ultimately joined him to create Peace. So in a way, their peace (Seidou's and/or the Aoki's) put a stop the Asukai's military actions at the time. c: