There is a huge difference between science and religious belief. Science is tested, retested, challenged and must be proven. Although new things are discovered every day, it is a refinement of knowledge, not a reversal of previous knowledge. All though mistakes may be made, they are small and soon challenged and discarded through scientific method.
Most scientific dating methods are confirmed and reconfirmed. Often more than one dating methid is used, the results are remarkedly consistent across different dating methods. To the person not trained in scientific method, it might seem that there is an equal amount of belief required to put your faith in it, but that is not the case
If religion were the only source of knowledge, we would still believe the sun revolved around the earth.