As far as I know, the stigma within some Jewish cultures against intermarriage ("shiksa," etc.) has been provably relatively "successful," but that doesn't make it not an antisemitic trope, and indeed it's one fash love to use. It still is one and I'd say you just shouldn't call a Jewish person inbred unless they were doing racial purity politics which, well, actually you could still call the bulk of hardline zionists inbred by that metric, so I guess it's a wash.

That said, I think he has only actually applied it to what amount to a particular subcultural strain of hog in Israel (where he is using it to mean chauvinist hick) and the IDF like you said, where I don't remember the context. There was another time where he laughed at some Jewish students reporting on Fox that they were called inbred by campus protesters, but Hasan said it was because of the absurdity of the interview (which I think is fair, it was very mellow dramatic for zero evidence or corroboration of an event that "happened" in broad daylight in a busy space with cameras around).

But yeah, there's a repeated issue with reporting on him using the Destiny wiki/subreddit as a source, which tells you about how much real research his right-opposition tends to do.