Diane Rehm, Bernie Sanders, Anti-Semitism

So as TPM reported, Diane Rehm sharply questioned Bernie Sanders about his supposed dual Israeli/American citizenship. Some listeners might have heard in this an echo of the familiar trope that goes back to the Protocols (and that last reared its head in national politics during one of Pat Buchanan's campaigns). Rehm's embarrassing mea culpa was that it was something she picked up on Facebook.I'm pretty sure that both the Jews and Bernie Sanders can take care of themselves, but I have to admit that it troubles even a non-Zionist like me that the list she is referring to is most likely this one, which ran on Ken Adachi's website, where you can also learn about the Illuminati bloodline, Agenda 21, the perils of vaccination, and the perfidy of international Jewry. I'm not saying that Diane Rehm subscribes to any of those theories, but shouldn't someone with her platform at least know enough about the kinds of theories that travel around the Internet to be skeptical of sites like that?