While Samaritans are descended from Abraham, they are not of Jacob.
Part of the northern tribes (Dan) went to Macedonia, and scicily, but do not live as Hebrews. Alexander is commonly believed to have been Danite. My maternal grandfather’s family is partly Danite, and partly separtic. They are from Sicily, and the family there are catholics.
My understanding of the Samaritans is they are the remnants of the northern Hebrew tribes who, when they broke away after Solomon died, immediately reverted to idolatry, and a truncated form of Judaism (only accepting parts of the Tanak), and of course an extensive syncretism (mixing religions) with gentile paganism, while they intermarried extensively with the surrounding gentiles.
When the Assyrian empire conquered the northern tribes from 732 BCE forward, they used a strategy of moving their own peoples in, and killing and enslaving the Hebrew peoples—intermarrying even further—increasing the dissolution of any Hebrew identity.
However the original tribes of the north, descendants of Jacob (just NOT Judah)—which were so compromised as to be called “lost,” eventually were identified with the Samaritans.
Still a form of monotheism survived, which is mentioned in the Christian bible with Jesus’ conversation with a Samaritan woman in the Christian bible’s book of John ch. 4. None the less, what was notable in this interaction is that even at that time, there was a huge degree of antipathy between the Jewish people and the Samaritans, and I’ve heard this hostility was based on the Samaritan religion being a kind of sub-Mosaic cult, NOT at all full Judaism, as well as the virtually extinguished Hebrew ethnic identity of the Samaritans—even back in the 1st Century.
Also the famous parable of Jesus’ of the “Good Samaritan” (where a Samaritan was kind and helpful to a man wounded by robbers, while a Levite and a Priest ignored him) seemed to have been intended to pierce the prejudices against the Samaritans (and remember Jesus’ followers during his life were ALL Jewish), showing righteous character is shown in ethics and action—not based on position or ethnic purity....