I agree with your version of logical thinking and i am almost sure that many chazayrim walk among us thinking they are jewish and with a goya as a mother.

A multidimensional scaling plot placed six of the seven Jewish populations in a relatively tight cluster that was interspersed with Middle Eastern non-Jewish populations, including Palestinians and Syrians. Pairwise differentiation tests further indicated that these Jewish and Middle Eastern non-Jewish populations were not statistically different

Despite their long-term residence in different countries and isolation from one another, most Jewish populations were not significantly different from one another at the genetic level. Admixture estimates suggested low levels of European Y-chromosome gene flow into Ashkenazi and Roman Jewish communities

Did you ever wonder why jewish people assume the format and genetic structure of the people in the country they live in? Do i have to explain any farther ? You were born in Iraq ? Than you look like an arab even though you are jewish. And thats how it is for the rest of the world.