I hear you, and this is obviously Paul’s point as well, but all I am saying is that Jewishness on a human level is a matter of heredity. Much as my heritage is Greek, yet I am a Christian, so Jews who accept Christ are Jewish by heredity but are still Christians. Can’t argue with DNA.
Faith (or lack thereof) is a decision that one makes. One's genetic heritage is pretty much meaningless in matters of faith - though in Judaism for men there IS some impact, as you are an Israelite, Levy or Kohane depending upon your male lineage. But that speaks NOT AT ALL to the Jewishness of a person. My father's mother was a Levy, but he was an Israelite because of his father (and I am also an Israelite, because my father was one, and my son is because of me. But my daughter's hypothetical son could be a Kohane, if my daughter marries a Kohane and has his son). My mother's great grandfather was a Kohane, but that didn't pass to his daughter, my mother's grandmother (and her husband was an Israelite, thus making all of HIS male children Israelites). But, again, ALL of them were Jews. So was one of my aunts by marriage, who converted - without 1/10 of 1% of Jewish DNA.
"Jewishness on a human level?" What are you talking about?
FYI, I am certain that Judaism, Christianity, Islam and any other major faith that you care to name do not care about the racial/ethnic heritage of a potential convert. They all accept them, and do so gladly, without any questions as to their ethnicity. They aren't joining the Ancient Order of Hibernians, after all.
You know who cared about people's DNA as regards religion? Yeah, that's right, nutcase Adolf and the rest of his shit-fer-brains Nazis @ssholes, who believed that if even 1 out of 4 of your grandparents was a Jew (regardless of practice for many decades), then so were you. I DON'T lump you in with them at all, but perhaps you'd like to re-examine your position on this issue - those are good people to have on the OTHER side of your position on pretty much any issue.