Note: Your quote for St John Chrysostom does not appear in your citation. I read the homily and it is not germaine.
I can't find your quote from St Origen anywhere... can you provide a citation?
I offer you these other quotes from St Augustine:
"Among these [apostles] Peter alone almost everywhere deserved to represent the whole Church. Because of that representation of the Church, which only he bore, he deserved to hear I will give to you the keys of the kingdom of heaven" (Sermons 295:2 [A.D. 411]).
"Who is ignorant that the first of the apostles is the most blessed Peter?" (Commentary on John 56:1 [A.D. 416]).
"If the very order of episcopal succession is to be considered, how much more surely, truly, and safely do we number them from Peter himself, to whom, as to one representing the whole Church, the Lord said, Upon this rock I will build my Church . . . [Matt. 16:18]. Peter was succeeded by Linus, Linus by Clement, Clement by Anacletus, Anacletus by Evaristus . . . " (Letters 53:1:2 [A.D. 412]).
"There are many other things which rightly keep me in the bosom of the Catholic Church. The consent of the people and nations keeps me, her authority keeps me, inaugurated by miracles, nourished in hope, enlarged by love, and established by age. The succession of priests keep me, from the very seat of the apostle Peter (to whom the Lord after his resurrection gave charge to feed his sheep) down to the present episcopate [of Pope Siricius]" (Against the Letter of Mani Called "The Foundation" 5 [A.D. 397]).
God is not limited to one understanding of His Word. It is deep with meaning and in many instances has more than one. In this instance, Peter's confession of faith is the rock on which the Church will be built but Jesus also gives Peter the name of "rock" to be the one to hold that faith firm.
Your quote from St Augustine was his original opinion, he later changed his mind and wrote in “Retractations”:
“In one place I said ...that the Church had been built on Pter as the Rock...but in fact it was not said to Peter, “Thou art the Rock”, but rather “Thou art Peter”. The Rock was Jesus Christ, Peter having confessed Him as all the Church confesses Him. He was then called Peter (the rock)...Between these two sentiments let the reader choose the most probable.”
Peter had not a primacy over the apostles , but AMONG them, and Christ said to them, “I will build upon Myself, I will not be built upon thee.”
“For neither did Peter whom the Lord chose ...when Paul afterwards disputed with him ...claim or assume anything and arrogantly to himself, so as to say that he held a primacy and should rather be obeyed by newcomers.”
St Cyprian quoted by Augustine
“The Rock is the unity of faith, not the person of Peter.”
St Cyprian in De Catholicae Ecclesiae
“I believe firmly that by the Rock you must understand the unshaken faith of the apostles.”
St Hilary 2nd TRinity
“This one (Peter) is called a rock in order that on his faith (Rock) he may receive the foundations of the Church.”
St Gregory Nazianzen
(The apostles) aspired to the possession of Christ, who is truly his head, for the hed of man is the Christ, Who at the same time is the ONLY HEAD OF THE CHURCH...all the apostles are the foundations of the Church, the columns of truth ...from them flow abundant torrents of divine doctrine.
St Gregory of Nyssa Panegyric of St Stephen
“The word “Rock” signifies the steadfast and firm faith of the apostles.”
St Cyril of Alexandria Upon St John
“Peter and John were equal in dignity and honor. Christ is the foundation of all - the unshakeable Rock upon which we are all built as a spiritual edifice.”
St Cyril
I will no longer respond on this subject. It is obvious that your explanation of where truth can be found is limited, since only you will determine what is germaine and what is not.
I will pray for you.