It's questions of faith, and if you have no faith, then it's like speaking different languages, we're going to come to an impasse.
Do I take a literal interpretation on everything? No.
I'm not young earth, but I do have to acknowledge that most scientific estimates for the age of things are based on an assumption: That there is no God.
most young earth creationists base their timeline on another assumption of their own: That the bible gives a definite timeline with no gaps. They assume Adam sinned basically the same day he was created.
so I am actually agnostic on that question, as to the age of the world and universe.
I think we can probably use ice cores to count back a bare minimum age that is much older than 6000 years, but once we get into radiocarbon dating we're using an assumption that we know the original amount of C14 that was present, tying that with the assumption that there is no God and that this all happened on its own with no cause, it leads to an exaggerated age.
I'm also a theistic evolutionist.