Interesting idea. I've a lot of time for theories of things being handed down which may have a truth (of some sort) contained in them. Problem with that idea is that there's evidence of ritual (and worship?) in the Pre-Pottery Neolithic A remains which have been found, which takes you to around 8000 BC and places us in Palestine as well as Mesopotamia and parts inbetween too. One of the main sites for them was the biblical Jericho, which was a town of a few thousand people even back then. If Gobekli Tepe is a religious site, and is also related to this culture/set of closely related cultures, then you could push that further back again by 1000 years or so. It's hard to reconcile the biblical narrative with that. Perhaps there was a theme being picked up on with roots in history and pre-history, but Genesis was likely written as far away in time from the start of recorded history as we currently are from when Genesis was written. (ie c.2600 years), so figuring it out from the bible is likely going to be very difficult. Possibly easier to start from the archaeology and work from that?
(Paper on ritual within Pre-Pottery Neolithic written by one of the world's experts on the subject: https://www.researchgate.net/profile/Adrian_Goring-Morris/publication/227138426_Foraging_Farming_and_Social_Complexity_in_the_Pre-Pottery_Neolithic_of_the_Southern_Levant_A_Review_and_Synthesis/links/53d888e40cf2631430c32337.pdf )