“And the soul which they made in Haran”?

I meant to ask about the essence of the people in the days of our ancestors and in our day. In fact, we are defined as Jews and not as Hebrews, if only for the simple reason that there is the possibility of conversion, and therefore any Gentile can turn his skin into a Jew. Whether the Gentile was initially a barbarian or a Slavic or Germanic, by converting he joins the people and the religion, which are inseparable bonds.
Conversion in the time of our forefather Abraham was strictly connected to the people and the religion, as in our day, or was it only to the religion, similar to Christianity, which is a universal and not a national religion? Did the souls who were made in Haran become Hebrews?
PS: I expect the rabbi to answer on a historical or Torah basis or in any other way…
I was awakened to this question following the Canaanites/Hebrews of the 1940s

Of course, my answer is not a substitute for the Rabbi's answers
But according to what I have read on the same matter and verse, it is common to think that the intention is that he brought them closer to keeping the 7 commandments of the children of Noah and believing in one God - and in any case, there is no reason to think that the souls they made made them Hebrews or part of the Hebrew people, just as it is wrong to keep the 7 commandments of the children of Noah today, neither will one become a Hebrew nor certainly a Jew.