Peg writes:
Why is it the least likely?
It is the least likely - or, rather, very unlikely - because it would mean that, if the dating was off to such an extent, almost everything we know about physics would be wrong. Dating methods are based in part on our understanding of physics, in particular nuclear decay. If, on the basis of this evidence, we would abandon our current picture of the ages of the different layers of the geologic column, and with it our current understanding of the history of life on earth, then we would have to abandon an important part of physics as well, together with a host of other well established scientific disciplines.
Before we do so, we might be well advised to reconsider and try to find another
more likely explanation.
It's not so much a matter of strong faith, as you suppose, as more a matter of having a theory that fits most of the evidence. Current theory has the age of the dinosaurs as between 230 and 65 million years ago, because that theory fits most of the evidence.
"Ignorance more frequently begets confidence than does knowledge: it is those who know little, not those who know much, who so positively assert that this or that problem will never be solved by science." - Charles Darwin.