"Do you think it irresponsible of us to continually share our history without knowing what it is?"

No, it's not important since that creation story is mythology and contradicted by scientific fact.  We know how Hawaii was created and when it was created -- through volcanism.  We know the correct order that the islands were made.  We understand things like plate tectonics and the composition of the Earth.  We know that humans did not originate from Hawaii, but rather, Africa.

So no, it's not important for people to know the mythology of primitive people with a limited understanding of the world.  I mean, you can learn about that if you're interested in it, but it has no real-world relevance or impact on anyone's life as far as I can tell.  It's about as important as me learning about the aborigines belief about how rivers and gorges are created.  Giant rainbow snakes?  No, geology.  It should be placed in the same category as Noah's Ark.  Kangaroos didn't hop to Australia from Israel.