That doesn't touch on the fact that Jews have political conflict around leftism at least as intense and dirty as anyone else.
Leftist Jews in fact have a perverse incentive to say and do stupid shit that absolutely will inflame sentiments against them and other Jews alike, just so that:
1. They will have backlash to play victim over.
2. They will have some of the mythical hate to point at when arguing for leftist censorship, hate crime bills etc.
3. They will fuck over political initiatives and alliances of non-leftist Jews.
4. They can recruit more Jews to leftism over "see, we always had a point that the right's antisemitism!" that they themselves inspire by supporting controversial causes while wearing their identity on their sleeve. It's basically a non-state, identity equivalent of false flag operation. It's as if a ISIS terrorist with Belgian citizenship did a terrorist attack in France... and somehow ISIS could turn that into convincing the French to want to sanction, or even wage war on Belgium. Because "Belgians" are murdering people in France. Fortunately Islamists are not as competent in the art of pure bullshitry as the leftists are.