Anti-Semitism in Proust

What do we make of the casual, or not so casual, anti-Semitism in Proust's Search for Lost Time? Reading volume 2, "In the Shadow of Young Girls in Flower," it's kind of astonishing how crude and vulgar the so-called beautiful young girls are about the Jews whom they meet on the esplanade at Balbec. What makes this anti-Semitism (barely) tolerable is that, first of all, Proust seems to be including these remarks in order for us to see that the girls are nasty people and confined by the narrow view of their class and their time, and, second, the girls are pretty nasty to anyone and everyone not in their "gang" (we first meet them as the plow through the crowd and one of the girls memorably jumps over an elderly man startling him nearly to death). And yet: the Jewish characters that Proust portrays are pretty much caricatures: boorish, striving, clannish, all the stereotypes - even though Bloch, who is Jewish, is one of the narrator's best friends (though he's not friendly - we wouldn't like him). So is Proust anti-Semitic? And Swann - one of the more sympathetic characters in the novels - is Jewish, though his Jewishness is somethign he seems to have to get beyond - not acknowledge and accept. I've never read a Proust bio, but I seem to remember that he himself was part Jewish (though Jews can be the most anti-Semitic of all) - but that's no excuse. This writer who is more thoughtful and perceptive and introspective about everything in his culture could only be so derisive toward Jews by intent, not by accident or oversight. Proust is no Wagner, obviously, but the nastiness of his attitude toward Jews (toward himself?) is a really disturbing element within his strange and insular world.