That AiG is forced to resort to circular reasoning in order to maintain their position that science is completely in line with a literal interpretation of the Bible should be enough to tip anyone off about its bogus nature. Check out what their website has to say. First, they say that scientific evidence confirms the biblical account:
Then they go on to say that any evidence that does not confirm the biblical account must be rejected a priori:
That's just blatant dishonesty right there. This kind of trickery isn't something that Christians should be supporting.
I think that you missed a key word: "interpretation". They are not saying that they reject the evidence itself, but that the interpretation of the evidence, if contrary with the Bible, is mistaken or flawed, and rather than simply dismiss it as that they will seek to explain why that particular interpretation is flawed (e.g. point out some fallible assumptions) and then offer up an interpretation that explains the evidence within a biblical framework. Hardly dishonest and well within the scientific approach to things: point out flaws in a theory and present a new one that seeks to explain it.
An brief and basic example of this may be the light time problem, for instance. A common interpetation of the evidence is that since light travels at a constant speed and some of the stars are millions and billions of light years (a measure of the distance light can travel within a year) away, then it must have taken the light millions and billions of years to get here. Obviously, this interpretation conflicts with a literal understanding of Genesis, which says that the Earth is roughly 6,000 years old. They don't ignore the problem or say that the measurements are wrong or whatever, rather, they come up with new theories or approaches to explain
how it is possible that the light from distant stars can reach us in a young universe, Dr Humphreys' approach (Humphreys, 2002) which seems to be a plausible explanation, though further work will probably need to be done.
That, for instance, is the difference between rejecting the evidence and rejecting an interpretation of the evidence. Evolutionists do the same thing: they will reject creationist interpretations of the evidence and explain it within their framework. It isn't deceitful or dishonest ... it's just how they interpret the evidence is influenced largely by their underlying belief systems. At least Answers In Genesis is up front and honest about their bias and presuppositions.
An atheist could never, by definition, accept and interpretation of the evidence that leads him to conclude that Noah's flood actually happened, because then he'd have to accept that God exists and that he'd be held accountable to Him for his life, so he'd point out possible flaws in the creationist arguments and/or explain how it is consistent with evolutionary thinking, an example may be their interpretations of the rocks and the fresh feldspar in Uluru or Clark and Caswell's attempts to reconcile evolutionary model with the lack of observed third stage supernovas.
As such, I personally believe it is dishonest (either ignorantly or otherwise) to claim that Answers In Genesis are intentionally any more dishonest than evolutionary organisations like Talk Origins, particularly without specific examples.
References:
Humphreys, R. (2002). Starlight And Time: Solving The Puzzle Of Distant Starlight In A Young Universe. Master Books: Green Forest, AR.