Yeah, the use of the same name to refer to different genetic and religious groups over time has really caused confusion for people. There are “jews” (the ancient Hebrews), there are “jews” (the Pharisees, whose descendants we call jews today), and there are “jews” (Christians—as in “heirs according to the promise”—according to the New Testament.

Cursory glance leads me to say you’re correct in what you posted.