I don't see it as a story of morality.
It's about how we got here.
To take such as narrative as somehow being a description of how everything came into being really makes no sense, and at all different levels. It's short; it's poetic in the Hebrew; it's imported from another culture; it defies even the most basic science; it defies basic history; etc.
As far as the issue of morality and values are concerned, it basically covers as series of items, even if we just isolate just the creation aspects:
-there's one God, not many
-God's creation is "good", unlike that from the neighboring Ba'als
-the 7th day is a day of rest, even though it's not a requirement for us at that time
-no meat eating, later changed during the Flood narrative
-animals not on the same level as humans from God's point of view
-etc.
Then it goes into "the Fall" narrative, which is a continuation and which continues on with the teachings of morals and values.
When fundamentalists continue to claim that somehow these accounts are both scientific and historical, they make their perspective and even their denomination look quite foolish, thus chasing people away. I know because I was one of these "people", and there are plenty more like me with our experiences.