Actually, you have to be sure that you wouldn't convert if you had John Wright's experiences, otherwise Aumann's agreement theorem should cause you to convert already, simply because John Wright had the experiences himself-- assuming you wouldn't say he's lying. I actually know someone who converted to religion on account of a supposed miracle, who said afterward that since they in fact knew before converting that other people had seen such things happen, they should have converted in the first place.

Although I have to admit I don't see why the divine spirit would want to tell you the 20th digit of pi anyway, so hopefully there would be a better argument than that.