Argument from ignorance
Religion often employs, The argument from ignorance. The argument from ignorance is basically "I don't know how this works, therefore it is proof of a god". It is often used against evolution, or theorys. One example is "if we evolved from monkeys, why are there still monkeys." Us and monkeys share a common ancestor.
Religion also relies on straw man arguments. A straw man is a misrepresentation, that can easily 'fall down'. Such as Kirk Cameron's misrepresentation of the big bang. Religionists often say the big bang was an explosion 'out of nothing'. It was something, and was an expansion of space-time.
The 'argument' called irreducible complexity, is that something complex can't have one part missing. This is a short section. So birth defects are irreducibly complex.