I am afraid there's much more to it.Interesting post, Takeiteasynow. I'll view the sites you linked. One thing's for sure, YHVH is not the original deity of Abraham and the early patriarchs. In fact, the Bible clearly shows that the "Queen of Heaven", Asherah, was more popular until the kings of Israel had her followers all killed. Yahwism only exists today because of genocide, ironically. Whenever Jews gripe about genocide just ask them what happened to all the Asherah worshipers? I don't recall any mass conversions by verbal persuasion in there. There was no compulsion though. They had the free choice of YHVH or death. I see where Muslims got the idea now.
1) The most likely candidate as deity for Abraham and the early patriarchs is still Hadad-(proto) Yahweh. This deity was worshiped by the Amorites ( from amurru - 'westerners') - alien to Mesopotamia and originally from Canaan/Syria - and Edomites and later, in the same territories under the name of 'Dushara' until circa 700 AD. As can be concluded from the work of John F. Hailey other local deities can be identified as manifestations of Hadad-Yahweh, using epithets or honorary titles. So Hadad-Yahweh was venerated over a period of at least 2700 years.
2) You have to understand how Abrahamic theology works: big changes are introduced by messengers or prophets of only God 'owns the law'. So big changes are molded into narratives that support long term theological developments in scriptures and secondary literature.
3) If Abraham is or relates to Hammurabi then many questions are resolved instantly. It would be like a Theological Domino Day.
4) It hooks up with the destruction of Sodom and Gomorrah - around 1700 BC a super heated asteroid explodes near the center of Canaanite religion.
So did the Amorites introduce Hadad-Yahweh in Babylon? That is what needs to be researched.