As I see it, when the terminology of the Bible begins to be changed, then anything can be said.
There is no mention of Gentile Jews (Israelite's), only the term Gentile, and the mention of the Isles of the Gentiles these peoples are clearly not Gentile Israelite's.
If your belief is, there were only two groups spoken of in the Bible, then there is an exclusion of the Gentile Non Israelite
Before I address the exclusion, I would like to speak about the word ethnos (Greek, translated variously nation or gentile meaning Nation or People Group.) Its equivalent in the Old Testament is goy (variously translated nation or gentile.)
The New Testament says there were Judaists (Jews who practised Judaism) and Ethnos (other People Group.)
The Jews were a nation of people (ethnos) but the distinction was between the Jewish nation and other nations. Yahweh Elohim said to Abraham: "I will make of you a great Nation." If we translated that 'a great Gentile' it would make no sense. That's why it's better not to use the word Gentile and to use Nation (or People Group) instead.
When Jacob was born, there were no such people as Jews. Jacob had 12 sons and one of them was Judah and the word Jew comes from his name. I wish they had spelt it in English Ju and not Jew because then the origin would have been so much clearer. It's much clearer in other languages. eg in German the masculine is Jude and the feminine is Judin. In French Juif and Juive. In Spanish Judio and Judia.
Israel divided sadly and it split into two Houses - the House of Israel (northern Israel) and the House of Judah (southern Israel.) Southern Israel, the Judahs, became the Jews. The northerners were not Jews. So here (in the Old Testament) we have 2 distinct groups of people - Jews and Not Jews - but both descendants of Jacob.
Over the centuries, the Lord had words to say to each group. The prophets often either spoke to the House of Judah or to the House of Israel, usually about things they were doing wrong. The Lord despaired often with His People Israel. However, Jeremiah prophesied in Jer 31:31 "Behold, the days come, says Yahweh, that I will cut a new covenant with the house of Israel, and with the house of Judah."
Because Yahweh loved His People so much, he had a plan and it was to bring back together the 2 Houses - Israel and Judah. Confirmed in Hebrews 8:8. He didn't have a plan for any other people groups - only these 2 Houses. These are who the Biblle is about. So when we get texts like John 3:16 we can see that this is all about the plan. For Yahweh so loved His People (His world) that he sent Jesus, their Messiah to see through this plan. And he achieved it.
So, to return to the exclusion question. Yahweh Elohim was the God of the descendants of Jacob. These were His People. In the context of the Old Testament and the teachings of Jesus, Jesus came for Yahweh's people Israel.
So in the way you have addressed the question, the answer would be that Yes, the plan of Yahweh excluded people from other nations who were not descendants of Jacob (ie Israelites.) (I surely wish it had included others but I have to accept it did not.) They were not in the plan - they were not in either of the 2 Houses.
It was to the people of the 2 Houses that the apostles and Paul and other disciples took the gospel of their Messiah. Because that was the plan of Yahweh.
Bullseye!
