JERUSALEM — President Obama’s position on Syria — punish President Bashar al-Assad for using chemical weapons without seeking to force him from power — has been called “half-pregnant” by critics at home and abroad who prefer a more decisive American intervention to end Syria’s civil war.

But Mr. Obama’s limited strike proposal has one crucial foreign ally: Israel.

Israeli officials have consistently made the case that enforcing Mr. Obama’s narrow “red line” on Syria is essential to halting the nuclear ambitions of Israel’s archenemy, Iran. More quietly, Israelis have increasingly argued that the best outcome for Syria’s two-and-a-half-year-old civil war, at least for the moment, is no outcome.

For Jerusalem, the status quo, horrific as it may be from a humanitarian perspective, seems preferable to either a victory by Mr. Assad’s government and his Iranian backers or a strengthening of rebel groups, increasingly dominated by Sunni jihadis.

“This is a playoff situation in which you need both teams to lose, but at least you don’t want one to win — we’ll settle for a tie,” said Alon Pinkas, a former Israeli consul general in New York. “Let them both bleed, hemorrhage to death: that’s the strategic thinking here. As long as this lingers, there’s no real threat from Syria.”

The synergy between the Israeli and American positions, while not explicitly articulated by the leaders of either country, could be a critical source of support as Mr. Obama seeks Congressional approval for surgical strikes in Syria. Some Republicans have pushed him to intervene more assertively to tip the balance in the Syrian conflict, while other politicians from both parties are loath to involve the United States in another Middle Eastern conflict on any terms.

But Israel’s national security concerns have broad, bipartisan support in Washington, and the American Israel Public Affairs Committee, the influential pro-Israel lobby in Washington, weighed in Tuesday in support of Mr. Obama’s approach. The group’s statement said nothing, however, about the preferred outcome of the civil war, instead saying that America must “send a forceful message” to Iran and Hezbollah and “take a firm stand that the world’s most dangerous regimes cannot obtain and use the most dangerous weapons.”

After years of upheaval in the Middle East and tension between Mr. Obama and Prime Minister Benjamin Netanyahu of Israel, the two leaders are now largely in sync on how to handle not just Syria, but also Egypt. Mr. Obama has not withheld American aid to Egypt after the military-backed ouster of the elected Islamist government, while Israel strongly backs the Egyptian military as a source of stability.

On Syria, in fact, Israel pioneered the kind of limited strike Mr. Obama is now proposing: four times this year, it has bombed convoys of advanced weapons it suspected were being transferred to Hezbollah, the Lebanese Shiite militia that Israel considers a major threat.

It has otherwise been content to watch the current stalemate in Syria pull in what it considers a range of enemies: not only the Syrian Army and Iran, but also Hezbollah, which has thousands of fighters engaged on the battlefronts in Syria, and Sunni Islamists aligned against them.

Though Syria and Israel have technically been at war for more than 40 years, the conflict in Syria is now viewed mainly through the prism of Iran. A prolonged conflict is perceived as hurting Iran, which finances Mr. Assad’s war effort. Whether Mr. Obama follows through on his promise to retaliate for the use of chemical weapons is a test of his commitment, ultimately, to prevent an Iranian nuclear bomb — as long as the retaliation does not become a full-scale intervention in Syria.

“If it’s Iran-first policy, then any diversion to Syria is not fruitful,” said Aluf Benn, editor of the Israeli newspaper Haaretz. “From the Israeli point of view, the worst scenario is mission-creep in Syria and America gets entangled in a third war in the Middle East, which paralyzes its ability to strike Iran and limits Israel’s ability to strike Iran as well.”

This spring, when an Israeli official called for an international response to what he said were earlier Syrian chemical attacks, he was muzzled and reprimanded for appearing to pressure the White House. Now, said Eyal Zisser, a historian at Tel Aviv University who specializes in the region, “it’s clear that Israel does not want to appear as somebody that is pushing the United States for a deep involvement.”

There are significant differences between Israel and the United States on Syria. There was widespread criticism here of Mr. Obama’s decision to delay responding to the chemical attack, with the quote “When you have to shoot, shoot, don’t talk” from “The Good, the Bad and the Ugly” becoming a common refrain. One Israeli dentist even took out a large newspaper ad promoting his implant services with a picture of Mr. Obama captioned, “He doesn’t have teeth?”

There has also been a broader debate about how best to respond to the war in Syria.

When the uprising began, many here saw Mr. Assad, who like his predecessor and father had maintained quiet on the border, as “the devil you know,” and therefore preferable to the rebels, some of whom were aligned with Al Qaeda or Sunni militants like the Palestinian Hamas faction.

As the death toll has mounted, more Israelis joined a camp led by Amos Yadlin, a former head of Israeli military intelligence, who argues that the devil you know is, actually, a devil who should be ousted sooner rather than later.

That split remains. But as hopes have dimmed for the emergence of a moderate, secular rebel force that might forge democratic change and even constructive dialogue with Israel, a third approach has gained traction: Let the bad guys burn themselves out.

“The perpetuation of the conflict is absolutely serving Israel’s interest,” said Nathan Thrall, a Jerusalem-based analyst for the International Crisis Group.

Tamara Cofman Wittes, director of the Saban Center for Middle East Policy at the Brookings Institution, was one of several experts who said this view differs from the callous “let them all kill each other” shrug popular here during the long-running Iran-Iraq war. Rather, Ms. Wittes said, the reasoning behind a strike that would not significantly change the Syrian landscape is that the West needs more time to prop up opposition forces it finds more palatable and prepare them for future governing.

She cited dangers for Israel if the conflict continues to drag on, including more efforts to transfer advanced weapons to Hezbollah, instability in Lebanon and pressure on Jordan.

Despite those threats, Matthew Levitt, who studies the region at the Washington Institute for Near East Policy, said Jerusalem and Washington essentially agree that “right now, there’s no good way for this war to end.”

Israeli leaders “want Assad to be punished; they’d like it to be punishing enough that it actually makes a difference in the war but not so much that it completely takes him out,” Mr. Levitt said. “The Israelis do not think the status quo is tenable either, but they think the status quo right now is better than the war ending tomorrow, because the war ending tomorrow could be much worse. There’s got to be a tomorrow, day-after plan.”