I think it's useless to even try to show true believers how the bible is wrong. They'll always come up with some reason why you're wrong and the bible is true. Until they're willing to shed their willful ignorance and look at things critically, they'll always keep convincing themselves that the bible is 100% true and inerrant and science is wrong. I know I used to be at that point once.
Christian apologetics is the art of rolling a dog turd in sugar and selling it as a donut.