Hey Scott, hope you and your family are safe and well. I have been watching alot of Undertaker interviews lately. Why didn't WWE ever run with a BSK Faction? Was it ever discussed? I personally would liked seeing Yoko, Kama, Savio, Godwin's, and Rikishi being themselves with the Undertaker at the helm. BSK vs DX, or the Harts would have been cool as well. 

No, it was never discussed because they were more like a “secret group” in retaliation to the Clique backstage.  Most people didn't even know about them until many years after the fact.