Christ, the Good Shepherd, called Peter to be the chief shepherd of His Church (John 21:15-17). He gave Peter the task of strengthening the other apostles in their faith, ensuring that only what was true (Luke 22:31-32)
Peter lead the Church In proclaiming the Gospel and making decisions (Acts 2:1-41, 15:7-12)
Early Christian writings tell us that Peter’s successors, the bishops of Rome continued to exercise Peter’s ministry in the Church. The Pope is the successor to Peter as Bishop of Rome. The world’s other bishops are successors to the apostles in general.
From Chalcedon:
COUNCIL OF CHALCEDON
Session 2
http://www.newadvent.org/fathers/3811.htm
After the reading of the foregoing epistle, the most reverend bishops cried out: This is the faith of the fathers, this is the faith of the Apostles. So we all believe, thus the orthodox believe. Anathema to him who does not thus believe.
PETER HAS THUS SPOKEN THROUGH LEO. So taught the Apostles. Piously and truly did Leo teach, so taught Cyril. Everlasting be the memory of Cyril. Leo and Cyril taught the same thing, anathema to him who does not so believe. This is the true faith. Those of us who are orthodox thus believe. This is the faith of the fathers. Why were not these things read at Ephesus [i.e. at the heretical synod held there]? These are the things Dioscorus hid away.
To the masses, Jesus spoke in parables, but to His disciples, he spoke plainly. (Mark 4:11, Luke 8:10). He had no qualms about identifying Himself in plain Aramaic: “I am the way the truth and the life. No one comes through the Father except through me.” (John 14:6). “today this scripture is fulfilled in your hearing (Isaiah)” (Luke 4:21); I AM (John 18:5-8), It is He who is speaking to you” (John 4:25-26). So, why would He be so coy and convoluted in HIs speech and logic when speaking with the twelve? He Himself said, “Let your yes mean yes and your no, no.” (Matthew 5:37) Why mention rock twice in the same sentence unless it refers o the same thing? Why rename Peter at all if it had no meaning? Who did St. Paul go to in Galatians 1:18? Peter.
However, your opinion disregards the very form of the Church which has perdured for almost 2000 years. The Church is Jesus’ earthly, human Body (1 Corinthians 12:27), with Him in charge. When He ascended there was no Bible for all believers to read and interpret for themselves.
Do you honestly think that you would have a Bible today had Jesus not left someone in charge of His Church when He ascended?
He couldn’t leave the twelve, in charge, for they argued amongst themselves as to who was the greatest (Mark 9:33-34). Peter.