Is Anti-Zionism a form of Anti-Semitism?

The Pope's answer:

In an email we got from Pope Francis:"Whoever does not recognize the Jewish People and the State of Israel falls in antisemitism"

— Henrique Cymerman (@Henrique_B_C) May 28, 2015

and on October 28, 2015, Pope Francis said at a meeting with Jewish leaders to mark the 50th anniversary of Nostra Aetate

“To attack Jews is anti-Semitism, but an outright attack on the State of Israel is also anti-Semitism.  There may be political disagreements between governments and on political issues, but the State of Israel has every right to exist in safety and prosperity.”

And President Obama, in an interview with Jeffrey Goldberg, in the Atlantic

On Israel, Obama endorsed, in moving terms, the underlying rationale for the existence of a Jewish state, making a direct connection between the battle for African American equality and the fight for Jewish national equality. “There’s a direct line between supporting the right of the Jewish people to have a homeland and to feel safe and free of discrimination and persecution, and the right of African Americans to vote and have equal protection under the law,” he said. “These things are indivisible in my mind.”

In discussing the resurgence of anti-Semitism in Europe, he was quite clear in his condemnation of what has become a common trope—that anti-Zionism, the belief that the Jews should not have a state of their own in at least part of their ancestral homeland, is unrelated to anti-Jewish hostility. He gave me his own parameters for judging whether a person is simply critical of certain Israeli policies or harboring more prejudicial feelings.

“Do you think that Israel has a right to exist as a homeland for the Jewish people, and are you aware of the particular circumstances of Jewish history that might prompt that need and desire?” he said, in defining the questions that he believes should be asked. “And if your answer is no, if your notion is somehow that that history doesn’t matter, then that’s a problem, in my mind. If, on the other hand, you acknowledge the justness of the Jewish homeland, you acknowledge the active presence of anti-Semitism—that it’s not just something in the past, but it is current—if you acknowledge that there are people and nations that, if convenient, would do the Jewish people harm because of a warped ideology. If you acknowledge those things, then you should be able to align yourself with Israel where its security is at stake, you should be able to align yourself with Israel when it comes to making sure that it is not held to a double standard in international fora, you should align yourself with Israel when it comes to making sure that it is not isolated.”