Fifa-girl ... have you made an introduction post yet? Please do, I am looking forward to it ;-)
There is genetic diffusion, cultural diffusion and language diffusion ... all overlapping. They don't always match each other. Language wise ... the original Israelites were Semites, like the Arabs. The Egyptians were Hamites, similar to the Berbers. The Hamites and Semites split off from each other during the Ice Ages, entering the non-African areas after the Mt Toba explosion in 75,000 BC. Homo Erectus didn't survive that, but the Neanderthals in Europe and Near East did ... along with modern humans in Africa. When one branch of modern humans left Africa via Yemen, they ended up in Australia eventually. The Sahara was a watered savannah ... pre-Hamites lived there. When the Sahara returned to being a desert, part of the Hamites were isolated on the Sub-Saharan area, and in E Africa. Others were isolated to the N African coast (Berbers), the others migrated to the Nile valley, becoming the first Egyptians. Some of those Egyptians migrated thru the Sinai to the N East and the Semites (people left behind nearest Africa) migrated thru the Sinai to Egypt (more than once). These migrations back and forth across the Sinai, and military expeditions, are the basis for the 1st thru 5th books of the Jewish Bible aka Books of Moses. These aren't histories or even genealogies, they are a complex hagiography and foundation myth, that has been reworked multiple times. All three forms of diffusion, went back and forth between the Near East/Egypt and Yemen/Ethiopia. This is pretty much who Jews were 2000 years ago.