This only “works” if you ignore the verses just prior to this where Christ is asking the disciples who people think He is.
Then we come to His question to Peter about who do you say I am.
And of course Peter answers, Thou are the Christ.
If we keep this in context with the rest of the passage, the “rock” upon which Christ is going to build His church on can only be this confession.
What else could it be?....but only if we keep this in the proper context.
What was revealed to Peter? The message that Christ is the Son of God.
What will Christ build His church on? This message that Christ is the Son of God. Implication: If one believes in Christ, that He is the Son of God he has faith and goes to Heaven and is saved from all sins, past, present and future.
Peter was given a leadership role in this building of the Kingdom. This is the message that Peter preached as we see him assume a leadership position later on in the NT.
But the Kingdom is built upon Christ and belief in Him. It can be nothing else.
“But the Kingdom is built upon Christ and belief in Him.”
But Christ declared that he is building his CHURCH on Peter.
Christ did NOT say “Kingdom” in the passage under discussion!