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So. The idea that the Hungarians were/are Jews was put forward by Kohn Sámuel (https://en.wikipedia.org/wiki/Samuel_Kohn) who wrote two books on the topic of the history of the Jews in Hungary. Well, the first book is actually a collection of Hebrew sources, but the second book contains parts which makes him a considerable pioneer in the research of the Khazar Khaganate. While I not yet can quote him on this but it seems he wrote that as the subject of the Khaganate, the Hungarians were also Jewish and they conquered the Carpathian Basin as Izraelites.
Somewhat related the figure of Kestler Artúr (https://en.wikipedia.org/wiki/Arthur_Koestler) who also wrote some stuff of Khazaria and proposed the idea - which you already familiar with - that the Ashkenazi are not semitic in origin, but Turkic. In his book, the Thirteenth Tribe, he writes that the Jews of Central Eastern Europe genetically are closer to Hun, Ugric and Hungarian tribes than to the progeny of Abraham, Isaac and Jacob.
I'll try and get both books.