“”I cited but a few examples of church fathers who do not interpret Matthew 16 as Peter being the rock that Jesus Christ was referring to ( Augustine for instance )””
Dear friend ,you need to read the conclusions of the early church fathers
Augustine Sermon 26
http://www.newadvent.org/fathers/160326.htm
“In that one Apostle then, that is, Peter, in the order of Apostles first and chiefest, in whom the Church was figured, both sorts were to be represented, that is, both the strong and weak; because the Church does not exist without them both.”
Here is more Blessed Augustine for you showing the succession from Saint Peter
St Augustine Letter 53..
http://ww.newadvent.org/fathers/1102053.htm
For if the lineal succession of bishops is to be taken into account, with how much more certainty and benefit to the Church do we reckon back till we reach Peter himself, to whom, as bearing in a figure the whole Church, the Lord said: “Upon this rock will I build my Church, and the gates of hell shall not prevail against it!” Matthew 16:18 The successor of Peter was Linus, and his successors in unbroken continuity were these:— Clement, Anacletus, Evaristus, Alexander, Sixtus, Telesphorus, Iginus, Anicetus, Pius, Soter, Eleutherius, Victor, Zephirinus, Calixtus, Urbanus, Pontianus, Antherus, Fabianus, Cornelius, Lucius, Stephanus, Xystus, Dionysius, Felix, Eutychianus, Gaius, Marcellinus, Marcellus, Eusebius, Miltiades, Sylvester, Marcus, Julius, Liberius, Damasus, and Siricius, whose successor is the present Bishop Anastasius. In this order of succession no Donatist bishop is found. But, reversing the natural course of things, the Donatists sent to Rome from Africa an ordained bishop, who, putting himself at the head of a few Africans in the great metropolis, gave some notoriety to the name of “mountain men,” or Cutzupits, by which they were known.