Of course there are people who reject religion for irrational reasons (i.e. dishonest priests) but that doesn't mean that all do. Further, something like dishonest priests or followers of a certain religion can lead a person to reexamine her beliefs which in turn may lead her to reject her current religion or even religion in general. There's nothing irrational about that.
I'm to take that all just on their say so?
No, of course not. And no one expects you to do so.
However, if you follow the crevo threads more closely you will notice that a lot of evidence gets posted (inline as well as links) by the evo side.
That requires trust in the scientists that they are telling the truth.
It's more trust in the scientific method than in individual scientists. Most scientists aren't satisfied with a "Because I said so" answer either so they check the results of their peers and publish their findings if they deviate in any significant way from the original results. And scientists aren't very coy when it comes to exposing the errors of their colleagues, whether they were deliberate or only honest mistakes.
What were Galileo's scientific and biblical conflicts with the Church?
"..it was a conflict between Copernican science and Aristotelian science.."