memes

I view it as slightly better than that interpretation. The Old Testament is what links the three. The interesting thing about the Old Testament is that it was written over a few thousand years starting around the time of two major historical events that could have precipitated what would look like a potential "apocalypse," to anyone at the time.

The Green Sahara period had just come to an end, denying Egypt what I would imagine was a substantial breadbasket for the Egyptian, and possibly Assyrian Empires. That event may not have directly caused The Bronze age collapse, but they happened quickly enough together, that I would imagine it was a factor.

So in a period of a few hundred years, a savannah that had plentiful game and foraging turned into the largest desert in the world. The Levant went from a seemingly temperate mediterranian climate, aka "the promised land," to a desert mediterranian climate. All the empires that you know of just collapsed in a period of 150 years. You might just get a bit superstitious, and borrow some ancient creation myths to write down the "history" of your people.

Lots of cultures did this. We know from archeological evidence that the Israelites weren't ever in Egypt, so everything up to, and including Moses, was made up to try to teach their descendants how to live in this new horrible dying world. It's just absolute random chance that the Israelite texts survived long enough to spawn the other two belief systems.