You do realize that you don't have to be a bible-burning atheist to believe in evolution and 4.5-billion-year-old earth stuff, right? First of all, this is a religion thread, not a science thread. Carbon-14 dating isn't used for "millions of years old" organisms. It's used to date recent things because the half-life of carbon-14 is approximately 5,700 years. After millions of years, there's still just a miniscule amount in an organism. But there are other ways such as uranium-lead dating. Of course Carbon-14 data wouldn't prove that the earth is millions Billions of years old; it can only accurately date things from as far back as 58,000 years ago.
Next argument: The bible claims a lot of things; I'm Christian, but I take some of these as myth and legend, but I do take some seriously. The moon wasn't formed right as the Earth was formed. The moon was originally a mars-sized (or smaller, I forgot) rock in space and it crashed. Some of that mass stayed on the Earth, some of it became a ring orbiting around Earth and the dust in the ring accumulated and formed the moon. Plus, you need to remember that the force of gravity decreases with increasing distance. That means that the distance the moon is moving is exponential, increasing every year.
And with your Grand Canyon claim, it DIDN'T EXIST AT THE BEGINNING OF THE EARTH. Streams and rivers can be created really quickly and they move. The Colorado River moved to it's current spot and started eroding everything about 7 million years ago; remember, erosion that deep can take forever.
Next argument: Stuff, we are a small ball of rock in a small arm of the Milky Way. There are about 300 billion stars in the Milky Way. We don't just move from star to star, calculate how much water/oxygen is on the planets around it, then go to the next one. That would take forever and it would be impossible, due to the fact that we can barely see planets. Look at a star on a clear night. See how far away it is. It's not that much different even with a telescope. You can't just spot planets. The only way we could find planets is due to the gravity of the planets tugging on the stars as well. Anyways, there are 300 billion stars in this galaxy alone. Imagine 9 planets on each of them. That's 2.7 trillion planets. Then multiply that by the number of galaxies in the [known] universe, which is almost impossible because there are so many. Then multiply that by 80, because we can only see 1/80 of the known universe even with the most advanced telescopes. So even though we are the only place with life that we know, the chances are for having at least a few planets with life. AAAANNNND, scientists have shown that with the right kind of atmosphere (carbon dioxide, water vapor, ammonia, a lot of lightning) like the kind that early Earth had, amino acids, the building blocks of proteins, can spontaneously form. So that increases the chances a little more.
Next argument: See previous argument.
Next argument: There are a lot of things that science explains about the origins of earth and the universe that the bible doesn't.
Argument crushed. Sorry about that, Stuff, and sorry if this comes off as rude.