I did not say that meteorites are a myth
Actually, you did:
An asteroid hitting the Earth is a myth
I guess it all depends on what you accept for evidence.
Of course. If you take a thousands of years old, massively inconsistent and largely edited book to be a 100% true version of events, then so be it. For the majority of the scientific world, you'll find that it takes a lot more.
they are predicated on the observable natural law.
Of course they are, not only is there no evidence for anything existing outside of the observable natural world, is it the consistency of the universe that allows us to survive. This comes back to why planes stay in the air. If the universe's laws for physics were variable, we'd have no way of building planes. Today they work, tomorrow airfoils have to be reversed to match the changing rules. Today the petrol in your car is just flammable enough to run the engine, tomorrow your engine explodes and the day after, petrol is as reactive as water.
why is it that you cannot put your faith in an infallible, eternal God
This question assumes that a god exists. Since there is no evidence for a god, why would I believe in one?
If there was evidence for a god, I'd believe. If god was performing miracles left right and center now (like the bible says he was thousands of years ago), I'd be more inclined to believe. This isn't a "god exists and people don't believe in him" game, this is a "god may or may not exist, and the only evidence for his existence is the bible" game.
Maybe you can tell me of another human ability OTHER than faith, that God could use to determine whether a person is acceptable or rejected
With no god, this point is moot, but perhaps we could look to other religions for your answer? Muslims need to uphold the 5 pillars, 4 of which are physical actions. In the case of Islam, faith alone is not enough to garner "acceptance" or "rejection".
You appear to be of the firm belief that man controls its own destiny
There are things that are out of man's control (such as meteorites, for now), but other than natural events, there is no reason to believe that man's "destiny" is controlled or even influenced by external factors. With this being the case, why would anyone trust in a source that says that man's "destiny" is controlled by supernatural factors? The reason is that they were raised to believe so, or were convinced by someone.