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I'm not beating a Bible, nor did I say these were my personal beliefs.
But the ceremony does have a theological basis behind it, and most pastors would be more interested in saving the new child's soul than denying baptism because the parents weren't married. That would be a sin on the part of the pastor, yes?
There are plenty of "casual" Christians. Why in the world are children still getting baptized, yet church attendance is way down? It's the Christian-lite insurance policy for the afterlife.