Christian preachers are not in favor of carbon dating because of their revelations. For 1000 years people of that church thought that the piece of wood embedded in the cross in their church was part of Jesus' actual cross brought to Rome by Constantine's mother, Helen only to be proven to be a new piece of wood that was less than 1000 years.
By the way, that guy Reza Aslan is one courageous guy. In the episode last Sunday he was in Haiti doing a piece on Voodoo and toward the end the guy who the spirit was in had a machete on Reza's head pressing it but not cutting Reza. Wonder what he will be doing next week.