The terrorists told WorldNetDaily an electoral win for the Democrats would prove to them Americans are "tired."
They rejected statements from some prominent Democrats in the US that a withdrawal from Iraq would end the insurgency, explaining an evacuation would prove resistance works and would compel jihadists to continue fighting until America is destroyed.
They said a withdrawal would also embolden their own terror groups to enhance "resistance" against Israel.
"Of course Americans should vote Democrat," Jihad Jaara, a senior member of the Al Aqsa Martyrs Brigades terror group and the infamous leader of the 2002 siege of Bethlehem's Church of the Nativity, told WND.
"This is why American Muslims will support the Democrats, because there is an atmosphere in America that encourages those who want to withdraw from Iraq. It is time that the American people support those who want to take them out of this Iraqi mud," said Jaara, speaking to WND from exile in Ireland, where he was sent as part of an internationally brokered deal that ended the church siege.
Jaara was the chief in Bethlehem of the Brigades, the declared "military wing" of Palestinian Authority President Mahmoud Abbas' Fatah party.
Together with the Islamic Jihad terror group, the Brigades has taken responsibility for every suicide bombing inside Israel the past two years, including an attack in Tel Aviv in April that killed American teenager Daniel Wultz and nine Israelis.
Muhammad Saadi, a senior leader of Islamic Jihad in the northern West Bank town of Jenin, said the Democrats' talk of withdrawal from Iraq makes him feel "proud."
"As Arabs and Muslims we feel proud of this talk," he told WND. "Very proud from the great successes of the Iraqi resistance. This success that brought the big superpower of the world to discuss a possible withdrawal."
Abu Abdullah, a leader of Hamas' military wing in the Gaza Strip, said the policy of withdrawal "proves the strategy of the resistance is the right strategy against the occupation."
"We warned the Americans that this will be their end in Iraq," said Abu Abdullah, considered one of the most important operational members of Hamas' Izzedine al-Qassam Martyrs Brigades, Hamas' declared "resistance" department.
"They did not succeed in stealing Iraq's oil, at least not at a level that covers their huge expenses. They did not bring stability. Their agents in the (Iraqi) regime seem to have no chance to survive if the Americans withdraw."
'There is no chance that the resistance will stop'
Abu Ayman, an Islamic Jihad leader in Jenin, said he is "emboldened" by those in America who compare the war in Iraq to Vietnam.
"(The mujahedeen fighters) brought the Americans to speak for the first time seriously and sincerely that Iraq is becoming a new Vietnam and that they should fix a schedule for their withdrawal from Iraq," boasted Abu Ayman.
The terror leaders spoke as the debate regarding the future of America's war in Iraq has perhaps become the central theme of midterm elections, with most Democrats urging a timetable for withdrawal and Republicans mostly advocating staying the course in Iraq.
President Bush has even said he would send more troops if Gen. George Casey, the top US commander in Baghdad, said they are needed to stabilize the region.
The debate became especially poignant following remarks by Sen. John Kerry, D-Mass., the 2004 presidential candidate who voted in support of the war in Iraq. Earlier this week he intimated American troops are uneducated, and it is the uneducated who "get stuck in Iraq."
Kerry, under intense pressure from fellow Democrats, now says his remarks were a "botched joke."
Many Democratic politicians and some from the Republican Party have stated a withdrawal from Iraq would end the insurgency there.
In a recent interview with CBS's "60 Minutes," House Minority Leader Nancy Pelosi, stated, "The jihadists (are) in Iraq. But that doesn't mean we stay there. They'll stay there as long as we're there."
Pelosi would become House speaker if the Democrats win the majority of seats in next week's elections.
WND read Pelosi's remarks to the terror leaders, who unanimously rejected her contention an American withdrawal would end the insurgency.
Islamic Jihad's Saadi, laughing, stated, "There is no chance that the resistance will stop."
He said an American withdrawal from Iraq would "prove the resistance is the most important tool and that this tool works. The victory of the Iraqi revolution will mark an important step in the history of the region and in the attitude regarding the United States."
'Bush is a sick person'
Jihad Jaara said an American withdrawal would "mark the beginning of the collapse of this tyrant empire (America)."
"Therefore, a victory in Iraq would be a greater defeat for America than in Vietnam."
Jaara said vacating Iraq would also "reinforce Palestinian resistance organizations, especially from the moral point of view. But we also learn from these (insurgency) movements militarily. We look and learn from them."
Hamas' Abu Abdullah argued a withdrawal from Iraq would "convince those among the Palestinians who still have doubts in the efficiency of the resistance."
"The victory of the resistance in Iraq would prove once more that when the will and the faith are applied victory is not only a slogan. We saw that in Lebanon (during Israel's confrontation against Hizbullah there in July and August); we saw it in Gaza (after Israel withdrew from the territory last summer) and we will see it everywhere there is occupation," Abdullah said.
While the terror leaders each independently urged American citizens to vote for Democratic candidates, not all believed the Democrats would actually carry out a withdrawal from Iraq.
Saadi stated, "Unfortunately I think those who are speaking about a withdrawal will not do so when they are in power and these promises will remain electoral slogans. It is not enough to withdraw from Iraq. They must withdraw from Afghanistan and from every Arab and Muslim land they occupy or have bases."
He called both Democrats and Republicans "agents of the Zionist lobby in the US."
Abu Abdullah commented once Democrats are in power "the question is whether such a courageous leadership can (withdraw). I am afraid that even after the American people will elect those who promise to leave Iraq, the US will not do so. I tell the American people vote for withdrawal. Abandon Israel if you want to save America. Now will this Happen? I do not believe it."
Still Jihad Jaara said the alternative is better than Bush's party.
"Bush is a sick person, an alcoholic person that has no control of what is going on around him. He calls to send more troops but will very soon get to the conviction that the violence and terror that his war machine is using in Iraq will never impose policies and political regimes in the Arab world."
Reprinted by permission pf WorldNetDaily