I find her style similar to Ari Fleischer, the "admit nothing, deny everything, make counter accusations" school of debate.
I particularly liked the "I've looked at the evidence presented for evolution and it makes me believe in the flood more" approach. The technical debate term I think is the "I'm rubber, you're glue" effect. Dismissal with a twist.
At the risk of being an armchair psychologist maybe this applies:
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ABB