‘scuse me people, we say in Havdalah evey week, bein Yisroel l’amim.
We mean it.
HaShem says in his Torah ?????? ???? ?? ????? ????? ??. It bothers you so much? Shows that the secular outside venom against the Torah and Followers have seeped into you. Sorry, I like my fellow Jew, because he is a Jew, HaShem commanded me to. I get along with my neighbors, indeed I smile to them and say a good word, because of darkei shalom. To equate a Yid with an aino yehudi, shows one is totally lacking in the understanding of a Yid. It shows how far the secular call made impact on the inner Jew.
Read what Rabbi Miller says, over and over again on this very topic.