The texts misinterpreted are Matthew 16:18-19
'18And I also say to you that you are Peter, and on this rock I will build My church, and the gates of Hades shall not prevail against it. 19And I will give you the keys of the kingdom of heaven, and whatever you bind on earth will be bound in heaven, and whatever you loose on earth will be loosed in heaven.”'
Looking at the exchange Jesus and Peter had (Matthew 16:13-20), Jesus asks Peter who he thinks he (Jesus) is. Peter tells him he is the Christ then Jesus states 'upon this rock I will build my Church'. Jesus is the rock. Peter is just a pebble. Peter was never the rock which is evidenced in his betrayal of Jesus.
Rome makes Peter the rock and by that interpretation they also betray him (Jesus)