Matthew 16:18-19 has been read three ways since the church's first centuries, and this site settles none of them. One reading takes the rock to be Peter himself, stated early by Tertullian in the third century, carried by the Catholic tradition from Cyprian onward, and honoured in Orthodoxy as a primacy of honour among equals. A second takes the rock to be the confession Peter had just made, held by John Chrysostom, by Theodore of Mopsuestia, and by the Protestant mainstream. A third takes the rock to be Christ, the reading Augustine preferred later in life and the one John Wesley took. The keys are given to Peter at 16:19, and the same words about binding and loosing are spoken to all the disciples at Matthew 18:18. The three readings and the teachers who hold each are set out in full on the site's page on that passage.
One line is worth stating plainly at that point of contact, and it is about a practice rather than a reading. Scripture directs prayer to God through Christ, and that is what this site teaches. Prayer addressed to Peter, or to any other saint, is not taught here. Where a communion reads Matthew 16 as founding an office, the reading is named as the reading of a living tradition with serious holders, and nothing on this page is written against anyone who holds it.
The clearest line from Peter to Christ runs through the word shepherd. At John 21:16 he is told to shepherd the sheep. In his own letter he tells other elders to do the same thing, in the same word, and then names the One over them all: "And when the Chief Shepherd appears, you will receive the crown of glory that will never fade away." The flock never becomes Peter's. Augustine pressed exactly this in a sermon of the early fifth century: "Feed 'my' sheep; he did not say 'yours,' did he? Feed, good servant, the Lord's sheep that bear the Lord's brand."
The man who was given a rock's name spent his letter putting the rock language on Christ. He quoted Psalm 118:22 to the council in Acts 4:11, and quoted it again in 1 Peter 2:7. In that chapter Christ is the living stone, and the readers are the living stones built on Him into a spiritual house and a holy priesthood. John Wesley read those verses in 1755 as Peter's own comment on the question of the rock, and that reading stands beside the other two rather than above them.
Luke 22:32 is the clearest picture in the Gospels of what Christ's intercession does. Satan asks for Peter. Permission is given. The prayer is not that the sifting be cancelled but that the faith survive it, and the turning back is stated as fact before the failure has happened. Peter is given his work on the far side of a fall he has not yet taken. Hebrews 7:25 and Romans 8:34 give the doctrine of that scene, and the scene gives the picture.
Galatians 2:7 puts Peter's commission and Paul's side by side: "they saw that I had been entrusted to preach the gospel to the uncircumcised, just as Peter had been to the circumcised." Two commissions, one gospel, one grace, sealed with a handshake between men who agreed. That verse belongs next to 1 Peter 2:9, where the words God spoke to Israel at Sinai are addressed to a mixed church scattered across five Roman provinces. The language of Israel is extended to those readers. Nothing in the letter says it was taken away from Israel, and replacement theology is condemned on this site. Irenaeus made the same point from the other end in the second century, insisting that the God Cornelius already feared, the God of the law and the prophets, "is, in truth, God."