I'm reading through the article you linked and I'll be adding thoughts as I think they are important:

This part caught my eye:
"In the context of the whole Old Testament, Jesus the rock gives his teaching about the rock. Specifically, the important passage of Isaiah 51 describes God as the “rock from which [the people of Israel] are hewn,” but they are told to “look to Abraham your father and to Sarah who gave you birth.” Stephen Ray’s masterful work Upon This Rock piles up evidence showing that the Jewish teachers repeatedly referred to Abraham as the God-appointed foundation stone of the Jewish people. God was the ultimate rock, but Abraham was his earthly presence. Just as Abram was given a new name to indicate his new foundational status, so Jesus gives Simon a new name—Rock —to indicate his foundational status in the new covenant."

The author seems to be conflating the idea of the title of Rock given by God to a specific, singularly appointed person as opposed to the chain of people who are pretty much self- or otherwise appointed to a position that, IMO, was never meant to exist. I conclude this BECAUSE of the similarities between Abraham and Peter, which the author correctly associated, but! Just as Abraham was the rock upon which God built His chosen people, the same thing that happened to Isreal has happened to the church, in this case, Isreal begged to have an earthly king, and this angered God, as this was not what God preferred or had in mind for the shepherding of His people. In the same way, the church was founded on Peter and due to the idiocy of humans, we set up an earthly system of supposed authority and this, I think, is anathema to how God would shephard His people. 

More to follow.