Be not afraid!!
Agreed. Not afraid. Just trying to reconcile all the incoherence. But for the mystics none of this would make sense to me.
Actually, the Catechism says that Christ would build His church on Peter's confession. Not Peter.
From the Catechism of the Catholic Church
http://www.vatican.va/archive/ENG0015/_INDEX.HTM
424 Moved by the grace of the Holy Spirit and drawn by the Father, we believe in Jesus and confess: You are the Christ, the Son of the living God.8 On the rock of this faith confessed by St. Peter, Christ built his Church.9 (683, 552)
It was not upon Peter which the Lord said He would build His church, but upon the truth Peter uttered when Jesus asked “but who do you say that I am” to which Peter responded, “ you are the Christ, the Son of the living God”.