Israel is 20%+ non-Jews: mostly descendants of non-Jews who chose not to flee into the arms of Jews' enemies after '48 or '67 or to the distant UNRWA welfare camps, relatives of Jews, converts from Judaism, and descendants of anti-Zionist Arabs from UNRWA camps on Israeli territory ("internal refugees") that were dismantled back in the 1950s.
Non-Jews, to be accepted as immigrants under the law of return? They or a near relative have to have a direct affiliation with the Jewish people. And I don't think professed converts count, though a Muslim who is a child of a Muslim father and Jewish mother might. You can look up Israel's Law of Return and the question of Who is a Jew? for enlightenment - there have been some changes over the decades.