I don't know much about them but their wikipedia page states:
> The museum says it is nonsectarian, non-political, and that it does not proselytize.[4][5] The former president of the museum, Cary Summers, said the goal was to "reacquaint the world with the book that helped make it, and let the visitor come to their own conclusions. ... We don't exist to tell people what to believe about it".[5]
I read it as very much a move in the culture war. It's not a museum about religious texts in general. It's very much a sectarian enterprise, whatever the PR people write.
> The museum says it is nonsectarian, non-political, and that it does not proselytize.[4][5] The former president of the museum, Cary Summers, said the goal was to "reacquaint the world with the book that helped make it, and let the visitor come to their own conclusions. ... We don't exist to tell people what to believe about it".[5]