But this isn't what it SAYS, this is your interpretation of what Matthew 16:18 says.
To me, it says very clearly "You are Peter, and on this rock I will build my Church."
Because I am Catholic, if I didn't understand what the scripture says, I go to the Magisterum -- the teaching authority of the Church. All Protestants have the same thing: if an individual doesn't understand something, they go to their Pastor. But different Protestant pastors will often render different interpretations ... even within the same denomination.
Catholicism is based on Scripture and Sacred Tradition. Many Protestants do not understand what Catholics really believe. Protestants don't like what they mistakening THINK is the Catholic faith. A little honest research might bring us closer together in Faith. One book I particularly like is Catholic and Christian, An Explanation of Commonly Misunderstood Catholic Beliefs.
I have many Protestant friends who I love dearly. One thing I noticed is that some of the best Catholic apologists are former Protestant ministers. They know their Bible, and they know more about the Catholic Church than I do, even though I was ostensibly raised in the Church. Catholics can and should learn more about their Faith. It is required of us, but many don't go past basic doctrine.
Let me try and say it this way then...
Using your agrument that this isn't what it SAYS, please show me where it says that Peter is the first Pope of the holy roman church or catholic church or is this and interpretation.
If so I see my 'interpretation' as a sound reading of the scriptures where yours might be considered by some to be fantasy. And if the RCC is the church that Christ speaks of why not say that. Is God or the Lord trying to trick me? We know the answer to that don't we?