My gut feeling (derived from numerous debates with them) is that a majority on the creationist side in FR *DO* believe that the world is only 6000 years old. They see that as the only possible way of reading the Bible, and many appear to regard those who disagree with them in this as non-christian. Almost without exception these people have co-opted the term ID as describing their position (They think that makes their position sound more scientific; it doesn't). If you don't agree with that your argument is with them, not those on the mainstream science side of the debate.
I have to disagree. My complaint and argument is with those evolutionists who seem unable to accept the fact that not all creationists believe in the young Earth. They accuse creationists as a whole of distorting science because of the young Earth theory. When the creationist doesn't believe in the young Earth, there would be no need to distort anything. No one is forcing evolutionists to have those incorrect beliefs of creationists so it is their chioce to believe it. I object when they lump all creationists into one category and dismiss them off hand because of the beliefs of a few. I would guess that a lot of those creationists who believe in it don't even know why they do, and because of the way it was calculated, wouldn't know why it's probably wrong.