Whether it's Alan's admix, the original Lazarides one (as I said- on visual inspection identical to Alan's, you just can't spot smaller admixture elements that well there), or the admix Excel table that JS Bach has linked to, they all show AJs genetically very close to Sicilians, and further away from Cypriots. Below are, for easy comparison, the respective results from JS Bach's table (smaller admix components combined; AJ1 from Dodecad, AJ2 from Behar):
[TABLE="width: 500"]
[TR]
[TD]
Component[/TD]
[TD]
AJ1
[/TD]
[TD]
AJ2
[/TD]
[TD]
Sic
[/TD]
[TD]
Cyp
[/TD]
[TD]
Pal
[/TD]
[/TR]
[TR]
[TD]Mediterranean (peak: Basques)[/TD]
[TD]37.8[/TD]
[TD]37.5[/TD]
[TD]40.4[/TD]
[TD]36.6[/TD]
[TD]25.6[/TD]
[/TR]
[TR]
[TD]SW Asian (peak: Yemen Jews)[/TD]
[TD]20.6[/TD]
[TD]20.4[/TD]
[TD]17.6[/TD]
[TD]23.9[/TD]
[TD]36.4[/TD]
[/TR]
[TR]
[TD]W Asian (peak: Georgians)[/TD]
[TD]22.4[/TD]
[TD]23.1[/TD]
[TD]23.7[/TD]
[TD]33.6[/TD]
[TD]29.2[/TD]
[/TR]
[TR]
[TD]North European (peak: Lithuanians)
[/TD]
[TD]16.7[/TD]
[TD]16.0[/TD]
[TD]16.5[/TD]
[TD]
5.1
[/TD]
[TD]
0.7
[/TD]
[/TR]
[TR]
[TD]Arctic, Siberian, Amerindian, East Asian[/TD]
[TD]
1.4
[/TD]
[TD]
1.8
[/TD]
[TD]
0.2
[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]E African, Australasian[/TD]
[TD]
1.1
[/TD]
[TD]
1.3
[/TD]
[TD]
1.1
[/TD]
[TD]
0.8
[/TD]
[TD]
4.6
[/TD]
[/TR]
[TR]
[TD]W African, Paleo-African[/TD]
[TD][/TD]
[TD][/TD]
[TD]
0.4
[/TD]
[TD][/TD]
[TD]
2.8
[/TD]
[/TR]
[TR]
[TD]S Asian (peak: Paniya)[/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD]
0.6
[/TD]
[/TR]
[TR]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[/TABLE]
Clearly, AJ are as "northern European" as Sicilians, and much more than Cypriots. Whether that means they were originally like the Cypriots, and picked up another 10% of "northern Europeaness" in the Rhineland & CE Europe (JS Bach's assumption), or obtained that mix in Sicily / Southern Italy, and maintained it mostly unchanged, except for a bit of North Eurasian inflow, in CE Europe - who knows. Admixture analysis can't tell it.
I don't get the WHG argument, but that may be because I don't think you can trace such old ancestry via admix analysis. Over the last 8,000 years, mankind has grown from a few 100,000 to close to 10 billion - just too much additional genetic diversity to find that handful of original HGs in the mix. I mean, look at that tiny "Australasian" element that always pops up alongside "East African", even in cases (e.g. AJ) where such an admixture is extremely implausible. Of course, there are very basal, Palaeolithic lines that East Africans and Australasians (and for all we know, all other humans) share. For some reason, admix analysis seems to recognise these lines as Australasian instead of East African. In a similar way, European Mesolithic ancestry gets somehow pooled into "Mediterranean" and/ or "North European" (probably into both), but that does not mean that every "North European" has Mesolithic ancestors.
I certainly don't believe that genes and language are 1/1 correlated. Otherwise, Germany would have around 1/3 each speakers of German, Celtic and Slavic, with the remainder speaking Latin. Those figures actually represent quite well what was going on German territory at certain points during the last 3,000 years, but they are linguistically absolutely meaningless today. My point was simply that AJ must have learnt (Middle Low) German somewhere before turning it into Yiddish, and that was most likely neither on Cyprus nor on Sicily...