I’m only piping up to correct some factual errors here:
Baish’s interpretation of DNA inheritance: Males have X chromosomes as well – they get it from their mother, who has 2 X chromosomes- she got 1 from her father, 1 from her mother, and she can pass either to her son, so tracing the X does not trace maternal lineage. If however overall the genome shows mixing- X or any of the other chromosomes that could come from mother or father, yet the Y is identical indicating little mixing within the paternal line, the assumption would be that the mixing must have come from the maternal line. To prove maternal lineage, you would need to check mitochondrial DNA that comes from the mother.
Philosopher- the Avos and Emahos were not geirim, since there was no concept of Am Yisroel yet- the machlokes is whether that starts with Matan Torah or the Shevatim. Dovid was definitely not a ger, but his ancestor Rus was. So although your point about the importance of geirim is true, you need to defend it with true facts.