Umm... I think you might want to pay a little more attention to the modern history of the Catholic Church before you declare it non-hierarchical.
It also seems odd to call the Protestant schism a repudiation of hierarchy, since it only came 1500 years into the Catholic project and led to a reassertion of "official" doctrine by the Roman authorities. (Which was reaffirmed four hundred years later and holds to this day.)
ObAikido: Interesting class this evening, with some ukemi, flow, and timing exercises I hadn't seen before.