Why should a party be anti-semitic? Do I sleep better if the guys in Israel have a bad time? No. I wish them the best. On the other hand, if a country (be it Israel or any other) threatens my country why can't I speak up?

How is Israel threatening your country?

The incidents I read weren't related to Israel, so I'm not sure why are you bringing it up.

Because he is anti-semite, in their modern form they say "...but israel!" whenever you criticize them or even question their ideology. There's a strong myth about liberals/jews being responsible for the devastating economic policies of the government in hungary.

Fun fact: Most Jobbik members and sympathizers are describing themselfs as apolitical hungarians who are "just patriotic".