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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.

The only resemblence that i can notice is that they both wear shoes other than that its like sky and earth.

You should know better if they wear shoes because i dont see them around me since i dont live in Israel.

http://www.hidabroot.org/Site/ARDetile.asp?id=7659&a...
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the men and women who founded the Jewish communities had surprisingly different genetic histories.... A new study now shows that the women in nine Jewish communities from Georgia, the former Soviet republic, to Morocco have vastly different genetic histories from the men.... The women's identities, however, are a mystery, because, unlike the case with the men, their genetic signatures are not related to one another or to those of present-day Middle Eastern populations..,

The haplotypes of Y chromosome (paternally inherited) and mtDNA (maternally inherited) were analyzed in representatives of six Jewish communities (Ashkenazic, North African, Near Eastern, Yemenite, Minor Asian/Balkanian, and Ethiopian). For both elements, the Ethiopian community has a mixture of typically African and typically Caucasian haplotypes and is significantly different from all others.The other communities, whose haplotypes are mostly Caucasian, are more closely related.

U. Ritte, E. Neufeld, M. Broit, D. Shavit and U. Motro.
The differences among Jewish communities—Maternal and
paternal contributions. Journal of Molecular Evolution
1993,435-440.

presenting data from a panel of X-chromosome microsatellites, which indicates that, in the case of the Georgian Jews, the female-specific founder event appears to have resulted in elevated levels of linkage disequilibrium

These patterns of variation were compared with those of five Near Eastern (n=327) and 10 host European (n=849) non-Jewish populations. Only four mtDNA haplogroups (Hgs) (defined on the basis of diagnostic coding region RFLPs and HVS-1 sequence variants) account for ~70% of Ashkenazi mtDNA variation. While several Ashkenazi Jewish mtDNA Hgs appear to derive from the Near East, there is also evidence for a low level of introgression from host European non-Jewish populations. HVS-1 sequence analysis revealed increased frequencies of Ashkenazi Jewish haplotypes that are rare or absent in other populations, and a reduced number of singletons in the Ashkenazi Jewish sample. These diversity patterns provide evidence for a prolonged period of low effective size in the history of the Ashkenazi population. The data best fit a model of an early bottleneck (~100 generations ago

DM Behar, MF Hammer, D Garrigan, R Villems, B … - European Journal of Human Genetics, 2004 - nature.com

The umbers of differences imply that these modern Jews stem from a minimum of 21 maternal lineages that were already distinct from one another~ 4,000 years ago. In three of four cases where a type was found in more than one person, it occurred in both Ashkenazic and Sephardic populations

Tikochinski Y, Ritte U, Gross SR, Prager EM, Wilson AC.
mtDNA polymorphism in two communities of Jews
Am J Hum Genet. 1991 Jan;48(1):129-36.

I have read this article but thats only a needle in a hay stack as far as proof is concerned. As i said earlier you look like the non jewish person in the country that you were born in. This is based on inter cultural marriages to gentiles.