What about other religions beside Christian churches? If you date a piece of, say, an Islamic mosque, and it turns out the C-14 hasn't decayed as much as the church and whorehouse C-14, does that mean that God is on the Muslims' side?
What about Jewish temples, or Shinto shrines, or Buddhist temples? You could also date artifacts from religions that are mostly extinct, like stuff from Greek or ancient Egyptian temples. And I don't know anything about Wiccanism, but you could carbon date some of their stuff too.