He regularly supports antisemitic conspiracy theories (most notably stuff about Soros and the "Great Replacement") on his website while also parroting the bad-faith accusations of antisemitism against pro-Palestinian activists (and he has also made a trip to Israel to rehabilitate his image aided by several pro-Israel figures).

Zionism and antisemitism go hand in hand

he said something about jews once on twitter... then booked a flight to the wailing wall and wore a yarmulke and started banning anyone who said anything on twitter about Israel overnight

Yes.