To assume any truth in the story, again Noah would have been Sumerian, Assyrian or Babylonian and not Hebrew. As there is no archaeological evidence to suggest even the remotest indication of a developing monotheistic culture having originated anywhere in Mesopotamia, particularly in the 2nd millenium BC, speculation on the relationship between an alleged Noah or an alleged Abraham is just so much smoke-and-mirrors.
Again, the Chaldeans didn't exist by the time of the first mention of Israelites, per the Merneptah Stele, nor the formation of the Biblical state of Israel during the time of David and Solomon, but many centuries later.
Forget about hebrews, that is seemingly luring you away from the scent. The chaldeans come from the Khaldi who were descended from Arphaxad one of Noahs grandsons. They were based around Armenia, which fits with the story of Noah. Noah is just the name, what is the sumerian Ziusudra or something? Let's just call him Z for ease. So, we have a sumerian story about a flood. I think it is probable that following the Black sea flood circa 6,000bce-5,000bce Z and some surivors landed around Ararat or Uratru (see we have the Ar/Ur prefix again). Who do we find around that region at that time? Well the proto-sumerians were the Vinca of the Ubaid. One of their prime centres as they moved south became Eridu (another Er) a very advanced city complex with spohisticated irrigation (double 'r's don't count). This is from where the sumerian empire flourished but as usually happens they became corrupted as did the other colonies as they spread out. Pillage and human sacrifice were rife and the priests had become corrupt and fallacious, giving into greed over atOnement. This is how and why I think the idea of habiru or later hebrew emerged. They were followers of this philosophy and could have claimed distant descent back to Z's line to give authority to the tribe. You put this together with the idea of Set and his cult originally and how the tradition diffused with what was already happenning elsewhere. Of course I am sketchy on the major details but that is what I can gather so far and see it as pretty reasonable. No doubt you would disagree but I think there is some evidence to suggest I am not creating a complete fantasy. then again...
Khaldi is also said to mean Ram and so the story of Abram and the start of the age of the Ram is very significant.
What about them four roomed houses aka Israelite houses at Avaris? Temple of Set? Shepperd or foreign kings but I think they were outsiders returning froma long absence where they had retained a lot of the original mysteries. Hey, who knows but it's fun to try these things out on guys who can tell me why I am wrong and how I can refine my study.