The majority of Jews are at least partly Mizrahi, ie. of Middle-eastern or North African descent. IRC Jewish conservatives are more likely to be Mizrahi, where as Ashkenzi ('European') Jews are more likely to be left-wing.

Prime example: Ben Gvir, the far right minister of National Security, is of Iraqi/Kurdish descent. So if anything this whole thing is arguably Middle-Eastern Muslim values vs. Middle-Eastern Jewish values.

As you say, the Israeli far right aren't great on gay rights either. Certainly not ideological bed fellows of Dana International.