We change our thinking not because we find one impossible thing in our old beliefs, but because we find too many. We are quite capable of holding a few impossible things in hand. This is how knowledge advances. The consensus of experts does not change just because someone finds an impossible thing in the old knowledge. Only when the impossible things add up do they gradually relinquish their hold on the old ideas.
We highly objective, data-driven, logical people are just as likely - 100% - to believe some impossible things.