Who was in charge of Christ’s church? That seems to go without saying. Christ is in charge of His church. He leads it through His own direct involvement. When Matthias was chosen as the replacement apostle, the apostles prayed and said, “Thou, Lord, which knowest the hearts of all men, show whether of these two thou hast chosen…” (Acts 1:24)
Who was doing the choosing?
Answer–the Lord. Not Peter. Peter was completely acknowledging that the Lord was in charge.
How does that happen? By revelation–the same kind of revelation by which Peter knew and could attest that “Thou art the Christ, the Son of the Living God.”
Of course Catholics believe that Jesus Christ is the head of His Church:
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669 As Lord, Christ is also head of the Church, which is his Body. Taken up to heaven and glorified after he had thus fully accomplished his mission, Christ dwells on earth in his Church. The redemption is the source of the authority that Christ, by virtue of the Holy Spirit, exercises over the Church. “The kingdom of Christ [is] already present in mystery”, “on earth, the seed and the beginning of the kingdom”.
666 Jesus Christ, the head of the Church, precedes us into the Father’s glorious kingdom so that we, the members of his Body, may live in the hope of one day being with him for ever.
792 Christ “is the head of the body, the Church.” He is the principle of creation and redemption. Raised to the Father’s glory, “in everything he [is] preeminent,” especially in the Church, through whom he extends his reign over all things.**
Etc.
The issue here is that you seem to be equivocating as to what exactly Peter’s role was in the Church. You claim that Peter was the “leading apostle”, yet he did not have “primacy”. We look at the dictionary definition of primacy (which you did not respond to), and we see that there is no issue there (since you already said that he was the “first-named apostle, and the leading apostle”). Jesus Christ is most certainly the head of the Church, His Body, however He has also appointed Peter as the leader, having primacy (which is what being the “leading apostle” means), and His successors hold that primacy.
The funny thing is that I’m looking at the Encyclopedia of Mormonism, and it seems as if you also have a dispute with it, since it claims, as I did, that Peter had “
primacy”!
Encyclopedia of Mormonism-“Peter”
“Peter’s primacy in the ancient Church derived from apostolic authority.”