@marks
Just look at Hosea 1 for an example. God is telling the 10 N tribes
only that He is not their people and He will no longer be their God.
God tells them that He will no longer have mercy on
the house of Israel (the 10 N tribes), but
He will still have mercy on the house of Judah. Take it to over 700 years later, and it's switched around. Read these prophecies in order from top to bottom now:
Hosea 1
6 And she conceived again, and bare a daughter. And God said unto him, Call her name Loruhamah: for
I will no more have mercy upon the house of Israel; but I will utterly take them away.
7 But
I will have mercy upon the house of Judah, and will save them by the LORD their God, and will not save them by bow, nor by sword, nor by battle, by horses, nor by horsemen.
Romans 9
22 What if God, willing to show his wrath, and to make his power known, endured with much longsuffering the vessels of wrath fitted to destruction:
23 And that he might make known the riches of his glory on the vessels of mercy, which he had before prepared unto glory,
24 Even us, whom he has called,
not of the Jews only, but also of the Gentiles?
25
As he says also in Hosea, I will call them my people, which were not my people; and her beloved, which was not beloved.
26
And it shall come to pass, that in the place where it was said unto them, All of you are not my people; there shall they be called the children of the living God.
Romans 11
28 As concerning the gospel, they (the Jews i.e the house of Judah) are enemies for your sakes: but as concerning the election, they are beloved for the father's sakes.
29 For the gifts and calling of God are without repentance.
30
For as all of you in times past have not believed God, yet have now obtained mercy through their unbelief:
31 Even so have these also now not believed,
that through your mercy they also may obtain mercy.
32 For God has concluded them all (Jews/the house of Judah and Gentiles/the new house of Israel) - in unbelief, that he might have mercy upon all.
Paul is talking about the house of Israel and the house of Judah in Romans 9-11, and take note: he does not say that the Jews are saved for the father's sakes even in their unbelief, he says they are
beloved for the father's sakes.
And yes - regardless of genetic ancestry, Paul has included Gentiles in the house of Israel
@marks (he has not included Gentiles in the house of Judah - we do not become Jews). The vast majority of the 10 tribes were exiled and scattered and never returned, and their descendants intermarried with Gentiles. God views Gentiles who believe in Jesus as he house of Israel, regardless of our genetic ancestry.