It is a nice visitors center an the park service has done a good job, but the information in the film and on the sign conflicts with the Bible.
So? It probably conflicts with all manner of superstition, myth and fairy tale. (Do you want to require government avoid conflict with all religious beliefs and myths? Or just yours?)
Now the 1st Amendment is interpreted to bar religion being preached by the government in schools and public buildings---and rightly so I guess. But why doesn't it prevent atheism from being preached? Why is atheism the official government position? All the sign and film would have had to add was something like "scientists conclude the age of the formation to be"; or "geologists date the formation"; and it would be better. Instead the we are taught matter-of-factly that " the age is".
1) Atheism is not a religion, in spite of the attempts of creationists to make it the equivalent to one. Nor is atheism the necessary opposite of fundamentalism. Many religions accept the findings of science, including Catholics--the world's single largest denomination.
2) Atheism is not an official government position. Scientific findings, following the scientific method and supported by empirical evidence, is
the default position. That's what you get anywhere in the world when you ignore myth, superstition and the rest.
If you want to believe in a young earth you're free to do so, but unless you can provide empirical evidence such that a young earth becomes the dominant scientific finding, you are not free to require government agencies to avoid contradicting your beliefs. And you shouldn't even been thinking of such a thing! Fundamentalism should have absolutely no role in governance--you'd think mankind would have learned that lesson by now, but I guess not.
Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.