The creationist does not have to contradict his belief about the age of the earth to cooperate. He only needs to recognize that the way to get the best result given his belief is to exchange cooperation for cooperation, using common sense (saving 2 billion people given that the earth is young is better than saving 1 billion people given that the earth is young). Yes, understanding the prisoner's dilemma is harder than understanding poison is bad, but it is still a case where common sense should overcome a small bias, if there is one at all. You might have some work to convince the creationist that his choice does not need to reflect his belief, just as your choice to cooperate would not indicate that you actually believe the earth is young.
I would rather persuade him to cooperate but not to be superrational (allowing the outcome to be D/C) than persuade him to be superrational (forcing C/C), and I doubt the latter would be easier.
Why is he going to cooperate unless you offer to cooperate in return? Unless you actually convinced him to reject young earth creationism, he would see that as saving 0 people instead of 1 billion. Or do you intend to trick him into believing that you would cooperate? I don't think I could do that; I would have to be honest to be convincing.
I spoke yesterday of the epistemic prisoner's dilemma, and JGWeissman wrote:
To which I said:
And lo, JGWeissman saved me a lot of writing when he replied thus:
I make one small modification. You and your creationist friend are actually not that concerned about money, being distracted by the massive meteor about to strike the earth from an unknown direction. Fortunately, Omega is promising to protect limited portions of the globe, based on your decisions (I think you've all seen enough PDs that I can leave the numbers as an excercise).
It is this then which I call the true epistemic prisoner's dilemma. If I tell you a story about two doctors, even if I tell you to put yourself in the shoes of one, and not the other, it is easy for you to take yourself outside them, see the symmetry and say "the doctors should cooperate". I hope I have now broken some of that emotional symmetry.
As Omega lead the creationist to the other room, you would (I know I certainly would) make a convulsive effort to convince him of the truth of evolution. Despite every pointless, futile argument you've ever had in an IRC room or a YouTube thread, you would struggle desperately, calling out every half-remembered fragment of Dawkins or Sagan you could muster, in hope that just before the door shut, the creationist would hold it open and say "You're right, I was wrong. You defect, I'll cooperate -- let's save the world together."
But of course, you would fail. And the door would shut, and you would grit your teeth, and curse 2000 years of screamingly bad epistemic hygiene, and weep bitterly for the people who might die in a few hours because of your counterpart's ignorance. And then -- I hope -- you would cooperate.