...weighed evidence and concluded that one side is dramatically more convincing than the other.
For a large portion of the creationists this is a very inaccurate description. To "weigh" evidence suggest looking at the evidence on both sides and seeing what the balance is.
Most do come no where remotely near this. They have been fed some simplistic junk and work very hard to not take any any new information. They repeat what they have been told without thinking it through.
We see a few of these pass through here every month. They are dogmatic, arrogant and not prepared to ask a question or listen to anything said.
On the occasion when one will engage in a give and take they often shy way as soon as they see they are being lead to a conclusion that they don't like.
A common dodge is the "it is just different interpretations of the evidence". However, when asked to supply the base evidence and give a detailed interpretation explaining it they duck and run. None of them have EVER actually worked through an "alternative" explanation that considers even a small part of the total evidence.
Your characterisation is, I think, very, very off the mark.