“Israel has hypnotized the world,” she tweeted in 2012. “May Allah awaken the people and help them see the evil doings of Israel.” Last month, she wrote that U.S. support for Israel was “all about the Benjamins baby.” A few weeks after that, she told an audience in D.C. that “I want to talk about the political influence in this country that says it is O.K. to push for allegiance to a foreign country.” Confronted with criticism about the remark from her fellow Democrat Nita Lowey, she replied: “I should not be expected to have allegiance/pledge support to a foreign country in order to serve my country in Congress or serve on committee.”

Under intense pressure, Omar recanted those first two tweets. But she’s standing her ground on her more recent comments. It’s a case study in the ease with which strident criticism of Israel shades into anti-Semitism.

For those who don’t get it, claims that Israel “hypnotizes” the world, or that it uses money to bend others to its will, or that its American supporters “push for allegiance to a foreign country,” repackage falsehoods commonly used against Jews for centuries . People can debate the case for Israel on the merits, but those who support the state should not have to face allegations that t heir sympathies have been purchased, or their brains hijacked, or their loyalties divided.

It’s also a case study in the insidious cunning and latent power of anti-Jewish bigotry— proof that anti-Semitism is not, after all, merely the socialism of fools. Omar, I suspect, knows exactly what she is doing. She pleads ignorance when it suits her, saying she was unaware that her references to hypnosis and “Benjamins” might be considered offensive. Or she wraps herself in the flag, sounding almost like Pat Buchanan when he called Congress “Israeli-occupied” territory. Or she invokes free speech, telling Lowey “our democracy is built on debate” — as if the debate she wants to force is as innocuous as a dispute over a spending bill.

As the criticism of Omar mounts, it becomes that much easier for her to seem like the victim of a smear campaign, rather than the instigator of a smear. The secret of anti-Semitism has always rested, in part, on creating the perception that the anti-Semite is, in fact, the victim of the Jews and their allies. Just which powers-that-be are orchestrating that campaign? Why are they afraid of open debate? And what about all the bigotry on their side?