The ubiquitous Abrahamic bloodline means that Israel is in all of us, as the Jewish community concurs and asserts from the mathematical and empirical evidence; and thus the entirety of humanity qualifies as the "nation of Israel".
The House of Judah has retained their identity, why not the House of Israel, the ten Northern tribes?
The fact is that the descendants of Israel/ Jacob who were taken into exile 135 years before Judah was taken to Babylon, they have forgotten their identity, as God planned it to be.
However, as Jesus came to save the lost sheep of Israel, it is a simple matter to identify who is Israel; the Christian peoples.
Those believers who love the Lord and keep His commandments, that is: every faithful Christian person are designated by God to be Israelites. Galatians 6:14-16
The New Testament writings are clear: there is only one Israel, who are the only one Church, only one elect, be they Jew or Gentile by birth.
1/ Israel, the chosen people of God: Exodus 15:13, Deuteronomy 33:3, Ezra 3:11
Christians, chosen of God: Romans 9:25, Ephesians 5:1, Col. 3:12, 1 John 3:1, Rev. 7:9
2/ Israel, the children of God: Deut. 14:1, Isaiah 1:2-4, Isaiah 63:8, Hosea 11:1
Christians, the children of God: John 1:12, Romans 8:14-16, Galatians 4:5-7, 1 John 3:1
3/ Israel, the scattered sheep of God: Psalms 78:52, Isaiah 40:11, Jer. 23:1-4, Ezekiel 34:12
Christians, His sheep: among the nations: John 10:14-16, Hebrews 13:20, 1 Peter 2:25
4/ Israel, God’s household: Hebrews 3:5, 1 Chronicles 29:14-18
Christians are God’s household: Hebrews 3:6, Hebrews 10:20-21, I Timothy 3:15, 1 Cor.3:9
5/ Israel are the priests of God: Exodus 19:6, Deuteronomy 27:9
Christians are the priests of God: Isaiah 66:21, 1 Peter 2:5-9, Rev. 1:6, Revelation 5:10
6/ Israel is the bride of God: Isaiah 54:5-6, Jeremiah 2:2, Ezekiel 16:32, Hosea 1:2
Christians are the bride of Christ: Isaiah 62:4-5, 2 Corinthians 11:2, Ephesians 5:29-32
7/ Israel is the vine and the olive tree: Isaiah 5:7, Hosea 9:10, Hosea 14:6-7
Christians are the vine and the olive: Luke 20:16, Romans 11:24
8/ Israelites are the circumcised: Genesis 17:9-14, Judges 15:18
Christians are the ‘circumcised’: Romans 2:25-29, Philippians 3:3, Col. 2:11
9/ Israelites are the children of Abraham: 2 Chronicles 20:7, Psalms 105:5-6, Isaiah 41:8
Christians are the spiritual children of Abraham: Romans 4:13-18, Gal. 3:7& 29, John 4:23
10/ The Covenant is with Israel: Deuteronomy 4:31, 2 Kings 17:34-36, Psalms 105:7-10
The New Covenant is with Christians: 1 Corinthians 11:25, Hebrews 8:6-10, Ezekiel 34:25