I think some say that Moses saw visions of the past, and wrote them down, as commanded to by God. Therefore the story may not be wholly accurate. He may not have understood wholly what was going on. It's like the supposed 'twin towers' prophecy in the Bible. It says a bird will fly into 2 pillars, but the person seeing the prophecy wouldn't have known what a plane or a skyscraper was.
A lot of people say the 'Big Bang' theory works well in conjunction with the creation theory. The Big Bang could have been how God created the Earth. He could have used matter from previous worlds, put them into a ball and made them explode or something. That, if anything, explains how dinosaur fossils are here if man first appeared on Earth about 6,000 years ago.
It also mentions in the Bible (in a few places) how God made things to create non-believers of him in the 'Last Days' in order to pick out the people with the most faith (he can't make it obvious, or else we'd all go to Heaven, and this wouldn't help him to pick out the better ones). So all these things which supposedly 'disprove' the Bible, again, are also evidence for the Bible.
Also, day is a period of time (it actually says this in my version of the Bible in a footnote.) It mentions day before God created day and night for a start. It also mentions later in the Bible that time is different in Heaven. It could have been one of God's days.
The Great Ape thing ties in with the Bible saying that things were created to have more non-believers in the 'Last Days'.
Those Christians that believe the 'Big Bang' can work in conjunction with the creation can easily counter God creating those other things so 'quickly' and why everything is moving apart.
The days aren't regular intervals of time, so he could have rested for a lot less than he spent creating things. Also, him resting is symbolic. It is why we take a day off every week to worship him. Maybe he knew that him resting, and having Moses write it in the Bible, would get us to worship him on the Sabbath. We have all these anti-Christians, who stay off work every Sunday. They could at least go to work in protest. Same goes with them celebrating Christmas (it's just helping to fulfill the prophecy in the Bible that millions will celebrate Jesus's birth for thousands of years).
People spend lifetimes trying to disprove religion, and fail. Nobody will be able to spend an hour thinking up arguements to disprove religion. Religion is based on faith (believing without proof), and to get to Heaven, we must have faith (therefore God cannot give us too much evidence anymore).
Also, people can say the Bible is mistranslated if somebody finds anything that contradicts something else (90% of the contradictions are between other versions of the Bible), or that the person who wrote the section was not inspired of God whilst writing it (e.g. Solomon's Song).
And finally, God can do absolutely anything. He can disobey the laws of Physics is he wants.