As far as the Catholic Church is concerned, the Pope is infallible (I'm more likely to agree with you that he is just a man, but a special sort of man).
The Pope never says or writes anything without thorough study and making sure it fits the faith. The fact that he said or wrote those words above, means that he believed it and that it is now officially a piece of the Catholic faith.
So you are now in open conflict with JP II. Do you have the credentials and the years of thorough study to stand up to his words? You may not like them, but to question him is to question one of the great theologians of the 20th century. Is that reason to question your conclusions?
And, before you ask, I am also not a Catholic.
Like I said i have no problems being in disagreement with a man, I do not have a disagreement with the bible. Genesis is clear as day.