Sonny Red was the muscle and feared, while Lucky Phil had brains and respect from many members in the Bonanno and other families. It would have most likely have been Phil as boss and Alphonse as underboss.
Both the Colombos and Gambinos gave them tactical support with Dellacroce supply them with a Gambino owned building, and the Gotti crew disposing of the bodies with the mistake of Sonny Red not buried to deep. The Genoveses were on the renegade faction side, with Fat Dom supplying some firepower to them.