The current Jobbik leader's name is Peter Jakab. Look him up. His story literally fits the stereotype—descendant of supposed Holocaust survivors, lost some ancestors in the Holocaust, etc. Despite this, Orban still refers to them as the 'Anti-Semitic Right' and ostensibly doesn't understand how there can be an alliance between the post-Communist Left and them. Well, that's remarkably simple. Jobbik isn't an 'Anti-Semitic Right' to begin with. So what happened?

Jobbik began shifting Leftward very quickly when Gabor Vona got hold of it. This Leftward push meant that most of the Jobbik Right like László Toroczkai have long left the party and formed other groups. Toroczkai's party is 'Our Homeland', founded as far back as 2018. Vona's silly attempt at mainstreaming basically meant that Jobbik lost the whole Right (who are probably now Fidesz or Our Homeland voters) and now the pro-EU types totally control the party.

Perhaps Orban understands this fully but simply uses the party's history as a cudgel with which to attack them, or he's just plain deluded. It's similar to the French RN and the Sweden Democrats. Both have 'Far-Right' origins but are clearly now mainstream Right parties very distanced from the 'Far-Right' today. Leftists and pro-EU liberals just act like none of these changes happened and the media still hilariously calls these parties 'Far-Right' even though they have no problem with immigration and multiracialism per se. One wonders each time whether they're genuinely deluded or simply using these backgrounds as a weapon against them in order to keep their preferred candidates like Macron in power.

Regardless, I think there are two fairly objective truths here. Firstly, Fidesz has moved Rightward while Jobbik has moved Leftward, such that they've crossed over and Fidesz is now better for us than Jobbik. Secondly, Our Homeland is the best party, but has no shot at power.

In your(?) Italian context, it is probably sort of like how I'd ideally support one of the groups like Tricolour Flame or Forza Nuova. But when the election comes it would not achieve anything to vote as a group for either, whereas enough 'based' Italians voting for Brothers of Italy could change elections for the better. So unless Our Homeland can seriously grow its voter base, Hungarians had better just take their chances with Fidesz each election.