I read the article by Dave Daubenmire that you linked to. The observations that he makes about the present day Jews not being all genealogically descended from the sons of Jacob are true since many were added to the ancient israelites and became Jews by conversion even in the days of the old covenant.
He is missing the mark entirely however in believing that it is only pure physical genetic descent that counts in God's eyes to qualify one as a Jew or an Israelite. Even in the physical bloodline of the Lord Jesus Christ we find at least two Gentiles, Rahab the prostitute who helped the two spies in Jericho, and Ruth, the Moabitess who married Boaz, the great-grandfather of King David, the man after God's own heart. There is a reason why these were included by the Father in His Son's genealogy. To refute the kind of error promoted by Dave Daubenmire.
The fundamental qualification for acceptance into the family of God is now and always has been, from the beginning, FAITH in the WORD of God. "So faith comes from hearing, and hearing through the word of Christ." (Romans 10:17)
The only way to be joined to the Lord Jesus Christ is through faith in His atoning blood. That is the bloodline that matters, whether for Jew or for Gentile. The process of becoming a fully mature son of God then begins. The word translated "adoption" in our bibles does not mean the same thing as the word we use in English which signifies that one is brought into a family from outside and is only legally part of the family but never shares the same bloodline. In the case of the Body of Christ one is born into the family of God and shares the same bloodline, the same Life as God. The Greek word for the adopted son is "huios" which signifies a position in the family as a mature son who now knows his Father's mind and ways and can be trusted to do His will at all times.
Jacob only reached that position when he wrestled with the "man" at the Jabbok and afterwards received the name of Israel, the name given to fully mature sons of God. This is a spiritual journey into the image of God we are on and has nothing at all to do with physical lineage. That was the apostle's message when he said that not all Israel are Israel. It is not the physical Israel who are Israel but those who have followed the appointed way into the image of God.
Here are a couple of small books on the subject that will help to clear up any confusion:
Who is a Jew?: http://www.gods-kingdom-ministries.net/teachings/books/who-i...
Who is an Israelite?: http://www.gods-kingdom-ministries.net/teachings/books/who-i...
"Jesus answered them: 'Truly, truly, I say to you, everyone who commits sin is a slave to sin. The slave does not remain in the house forever; the son remains forever. So if the Son sets you free, you will be free indeed.'" (John 8:34-36)
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