Creationists? You know that there are at least two camps. The one that sticks to the literal 6000 years you refer to, and the more realistic ones who accept the possibility that God created the universe billions of years ago, but created man 6000 years ago.
And just so you know, science is only fact until new science pokes holes in it. We are constantly finding out that we are wrong in our science. We constantly rewrite science to keep up with new findings. And carbon dating....that is about as reliable as a lie detector test to get at the truth. It is a known fact that the older something is, the more likely that carbon dating will give bad results.
For example, do you know about the Oak Island Mystery? In the attempt to discover what lies in the pit, a hole was drilled to obtain samples. The samples were carbon dated. Some were hundreds of years old, some thousands, and some were from the future. So much for science. Their answer to this discrepancy...a nuclear source in the pit is affecting the results. So, if this is true, and it probably is, any radiation source can affect carbon dating. Wow, don't we live in a world full of radiation energy from the sun, uranium in the oceans and land, and other sources? We are not smart enough to date things based on a radiation signature. There are variables out there we can't calculate into the formula.
Answer: The creationists who adhere to the 6000 year old creation could be right. Who knows if that stuff out there is anything more than an illusion? We have pictures of ghosts and monsters too, but do you think that they are really here? Just because we have a photo of something, doesn't mean it is what we think that it is. I personally believe that the universe is real, but I think God is also real. If you ever experience something that defies science, a miracle, you'll believe too.
As for the time-line of creation, it is a worthless argument. No serious Christian will try to put a time-line on creation any more than they will try to put a date on the end of the world. I suppose that Dec 12, 2012 is the end, right? Lots of people believe that.