At the end of Suetonius's biography of Julius Caesar he makes specific note that the Jews in Rome mourned Caesar in their own unique and conspicuous fashion, but I had never heard any specific stories of Julius interacting with Jews. So, what was Caesar's relationship with the Jews like, as a statesman and military commander in the East? Did he do anything specific to evoke the loyalty of the Jewish community in Rome or were they simply participating in the general mourning in a different fashion?
Except for Caesar's time in Egypt and Asia Minor towards the end of his career, he was barely in the East, and, in fact, the local ruler of Judea, Antipater, sided with Pompey over Caesar (given that Pompey had installed Antipater as ruler that wasn't a surprise). Caesar's famous clemency would extend to the Antipatrid family and Antipater's son the future king Herod the Great, who would later survive the same mistake again by siding with Marc Antony over Octavian and Octavian pardoning him.
Outside of Caesar deciding not to punish Antipater for punishing Pompey, Caesar really had very little to do with Roman policy in the Levant, which is the area where Pompey had established his reputation.