I'm not trying to disprove the Bible. I'm trying to disprove the notion that Christianity is somehow "Evidence Based". You mention faith, not nitpicking, etc. Or, in short, you're pointing out that it's "Faith Based"...which I have no qualms with.
Then it would seem that we agree, because I don't either. Christianity is definitely faith based.
> what is impossible to an all-powerful God who created the laws of physics themselves?
How about logical impossibilities and contradictions? Can God create copies of himself, or split himself into multiple aspects, such as into the Greek gods? If not, then God must be limited to logical possibilities. If yes, then any and all explanations are equally valid, so God is literally meaningless.
> science concerns itself purely with the physical, tangible world
That's not even remotely true. Physics constantly plays with metaphysical models, and it keeps the ones with explanatory power that can be mapped to observable phenomena.
> I like to think of myself as a highly rational individual
There's an alternative explanation here somewhere, but my highly irrational mind is having a hard time seeing the truth.
If one tries to nitpick on every little detail in the Scriptures, they will have a lot of occasions to do so. It is quite easy to find apparent contradictions by interpreting the Bible in a way that is suited to your goal. It is not, however, a proof that the Bible contradicts itself, as it relies on a specific interpretation. When it come to religious matters, very few things can be proven or disproven.
The way I see it, Christian faith is about being humble. You can't find God if you read the Bible with a self-righteous, know-it-all attitude, trying to disprove it line by line. I found this[1] page to explain this point of view quite well.
You cannot apply the principles of science to metaphysical matters, because science concerns itself purely with the physical, tangible world, and has no answers to offer regarding its origins, its meaning, etc. Science and faith do not contradict each other; rather, they complement each other. I like to think of myself as a highly rational individual; mathematics and programming, for example, delight me. Yet I have no issue believing that the Bible is true, and that the God of Abraham, Isaac and Jacob is the creator of the Universe. Does that make me a fool? In the eyes of some, yes. Is it possible to be cognitively biased in a specific area yet highly rational in others? Absolutely. But to say that reason precludes faith is simply incorrect.
[1]: http://www.christiananswers.net/q-comfort/contradictions-bib...