Several of the Bible writers use "Jew" and "Israel" as metonyms or in metaphoric and other ambiguous ways. Many groups and individuals use that to redefine the word Jew or to claim they're the real Jews. It's not just racist and historically absurd; it makes God out to be a promise breaker no different than the thousands of capricious pagan deities. God will save a remnant of the physical descendants of Israel because he said he would, and he keeps his word.
The "people whom he foreknew" (v2) are not a mysterious "elect" that God chose for eternal salvation before the foundation of the world. They are Israel, the nation with whom God has an established relationship, and he has not rejected them.
From Jay Carper at Common Sense Bible Study (https://CommonSenseBibleStudy.com) and American Torah (https://www.AmericanTorah.com).
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