It is a fair question, one worth debating, but it is unmoored from certain political and theological realities. One irresistible reality grows from Hamas’s complicated, competitive relationship with Hezbollah. For Hamas, Hezbollah is not only a source of weapons and instruction, it is a mentor and role model.

Hamas’s desire to best Hezbollah’s achievements is natural, of course, but, more to the point, it is radicalizing. One of the reasons, among many, that Hamas felt compelled to break its cease-fire with Israel last month was to prove its potency to Muslims impressed with Hezbollah.

Another reality worth considering concerns theology. Hamas and Hezbollah emerged from very different streams of Islam: Hamas is the Palestinian branch of the Sunni Muslim Brotherhood; Hezbollah is an outright Iranian proxy that takes its inspiration from the radical Shiite politics of Ayatollah Ruhollah Khomeini. But the groups share a common belief that Jews are a cosmological evil, enemies of Islam since Muhammad sought refuge in Medina.

Periodically, advocates of negotiation suggest that the hostility toward Jews expressed by Hamas is somehow mutable. But in years of listening, I haven’t heard much to suggest that its anti-Semitism is insincere. Like Hezbollah, Hamas believes that God is opposed to a Jewish state in Palestine. Both groups are rhetorically pitiless, though, again, Hamas sometimes appears to follow the lead of Hezbollah.

I once asked Abdel Aziz Rantisi where he learned what he called “the truth” of the Holocaust  that it didn’t happen  and he referred me to books published by Hezbollah. Hamas and Hezbollah also share the view that the solution for Palestine lies in Europe. A spokesman for Hezbollah, Hassan Izzedine, once told me that the Jews who survive the Muslim “liberation” of Palestine “can go back to Germany, or wherever they came from.” He went on to argue that the Jews are a “curse to anyone who lives near them.”

Nizar Rayyan expressed much the same sentiment the night we spoke in 2006. We had been discussing a passage of the Koran that suggests that God turns a group of impious Jews into apes and pigs. The Hezbollah leader, Hassan Nasrallah, among others, has deployed this passage in his speeches. Once, at a rally in Beirut, he said: “We shout in the face of the killers of prophets and the descendants of the apes and pigs: We hope we will not see you next year. The shout remains, ‘Death to Israel!’”

Mr. Rayyan said that, technically, Mr. Nasrallah was mistaken. “Allah changed disobedient Jews into apes and pigs, it is true, but he specifically said these apes and pigs did not have the ability to reproduce,” Mr. Rayyan said. “So it is not literally true that Jews today are descended from pigs and apes, but it is true that some of the ancestors of Jews were transformed into pigs and apes, and it is true that Allah continually makes the Jews pay for their crimes in many different ways. They are a cursed people.”