"We can erase them in no time," Yehuda says of the Palestinians. "But the government won't let us do it."

"How does it feel to meet a Jewish terrorist?" asks Yekutiel Ben Yaakov, the guard-dog trainer, laughing, when we meet at a café in the large settlement of Ariel.

"We're heading toward a situation where in all likelihood there will be bloodshed between Jews," he says. "I say this with a heavy heart."

Would this mean settlers shooting at Israeli soldiers?

"I think we'll see more innovative forms of Jewish resistance," says Ben Yaakov, who is friends with Ephraim Khantsis and encouraged the young Brooklyn student to move to Kfar Tapuach. "We may see guys that themselves were colonels in the Israeli army or engineers helping the kids create rockets to shoot into Arab villages."

The point of attacking Palestinians at a time when Israeli soldiers are coming to expel Jews from settlements would be, Ben Yaakov says, to distract and divert the Israeli army and to "change the balance"—to alter the dynamic of the conflict. That would also reduce the chances, he says, of Jews' killing Jews.

In recent months, this strategy has been adopted by radical settlers around the West Bank. They call it the "Price Tag" campaign: The price for the Israeli government will be high. So far, settlers have blocked roads, attacked Palestinians with guns—during my visit a settler shot dead a Palestinian who was allegedly throwing stones at his car—and other weapons, daubed graffiti on at least one mosque, and battled soldiers by hand and with stones.

What Ben Yaakov sees happening is a step up from that kind of resistance.

It would include planting bombs in Palestinian villages. The Dome of the Rock, one of Islam's holiest sites, might also be a target for Jewish terrorists, as it was in the early 1980s for a group named the Jewish Underground.

There could, perhaps, be no more provocative action for extremist settlers to take than an attack on the Dome of the Rock and the Al-Aqsa mosque, which sit in the old city of Jerusalem, on top of the holiest site in Judaism, the Temple Mount.

Back in the Brooklyn pizzeria, when talk turns to the Temple Mount, Khantsis' conviction is resolute. "I think it's one of the greatest insults to put their place on our holy site," he says. "I think the mosques should be removed. At best they should be peacefully removed and built elsewhere."

The other option, he says, is that they should be "violently disassembled."

That is a nightmare scenario for the Israeli government—an act of destruction that would make all-out war almost inevitable.

And it's a nightmare that has roots that stretch all the way from the hilltops of the West Bank to the quiet streets of the United States.