Well, we can certainly see where a lack of an infallible leader has gotten the Anglican/Episcopalian Churches.
Christ is the head of His church - men of all denominations have forgotten that.
The true colors of the Roman Catholic Church are there in your statement for all to see. So, this is how it feels on the receiving end?
The good news of the Gospel is foolishness to those who are perishing. The arrogance religiosity and the idolatry of wealth are evident in both the Anglican and the Roman Catholic churches and need to be rooted out. Nothing has changes since Jesus dealth with the Pharisees. There are still plenty of those in our churches today. Only Jesus Christ can cleanse His bride and He is doing so. I pray He continues to expose the darkness within the hearts of men who pretend to the priesthood. Better they are dealt with here on planet Earth than at the judgment seat.
And the presence of an "infallible leader"? The Reformation.