After what many viewed as Prime Minister Netanyahu’s boosterism on behalf of Mitt Romney in 2012 and his meetings in New York last month with Hillary Clinton and Donald Trump, there has been inevitable chatter about how Israeli politics is impacting the U.S. presidential election. For what it’s worth, I thought in 2012 that Netanyahu largely got an unfair bad rap over allegations that he was trying to influence the campaign, and I give him credit this time around for having clean hands. By all accounts, Netanyahu gave zero encouragement to Trump when he was making noise about taking a campaign trip to Israel last spring, made no independent effort to meet with the candidates while in the U.S., and made sure to reach out to Clinton to schedule a meeting only after Trump asked for one first. While there is plenty of speculation about the Israeli government’s preferences and how those preferences will impact the election, the more interesting angle goes the other way. The U.S. election has the potential to wreak havoc on Israeli politics, and it is forcing Netanyahu to make some potentially momentous choices with regard to his own political positioning.

The past couple of months have not been kind to Netanyahu and Likud insofar as the polls go. In early September, public opinion surveys showed Yesh Atid pulling ahead of Likud were elections to be held, with Yesh Atid more than doubling its current seats and Likud’s share cut by 25%. Another poll in late September confirmed this trend holding, with Yesh Atid ahead of Likud by four seats despite more respondents preferring Netanyahu to Yair Lapid as prime minister. While the numbers dictate trouble ahead for Netanyahu and Likud politically absent some sort of course correction, there is one important way in which the polling acts to Netanyahu’s political benefit. Israeli government coalitions are notoriously unstable – Netanyahu’s most recent government lasted just over two years, and there have been nine governments in the twenty one years since Yitzhak Rabin’s assassination – and it oftentimes takes little to bring a government down. Coalition partners are able to hold the prime minister hostage by insisting on an array of demands and threatening – explicitly or implicitly – to bring down the government and force new elections if they aren’t met. Conversely, when the polls show the leading party benefitting from new elections, the prime minister will often force a crisis, such as when Netanyahu fired Yair Lapid and Tzipi Livni in December 2014 in order to try and pick up more seats and bring the Haredi parties into the government.

The current government is in many ways one that should be particularly susceptible to hostage taking behavior by Likud’s coalition partners. The coalition is 66 MKs – and was only 61 MKs until Avigdor Lieberman brought Yisrael Beiteinu into the government in May – and it can be unilaterally brought down by four out of its five coalition partners, since a defection by any of the four would put the coalition under a majority of 61 Knesset seats. It is filled with party leaders, such as Naftali Bennett and Lieberman, who harbor ambitions to replace Netanyahu, have extremely checkered pasts with him, and are also widely reputed to loathe him personally. It contains parties with wildly different priorities, from Habayit Hayehudi and its focus on its settler and rightwing nationalist constituency to Shas and United Torah Judaism and their championing of ultra-Orthodox welfare and religious priorities. It has been plagued with fights surrounding the budget. In short, few people thought this government would last particularly long.

The recent polls change that calculus, because the prospects of Yesh Atid winning and forming the next government mean that Habayit Hayehudi and the Haredi parties would be doomed to irrelevance. Despite Lapid and Bennett’s unlikely partnership of strange bedfellows in the previous government, it is difficult to foresee a coalition led by Lapid in which their two parties coexist. The Haredi parties are also terrified of Lapid, despite his recent efforts to take a softer rhetorical line on their pet issues, since he represents the secular elite with whom they clash and his late father, Tommy Lapid, was Israel’s most ardent and outspoken secular leader and Haredi opponent. In addition, Moshe Kahlon and his Kulanu party would nearly disappear if new elections were held today, and Kahlon’s future political career is dependent on his banking some tangible policy victories as finance minister. In short, Netanyahu’s partners can no longer afford to make idle threats of bringing the government down, which makes Netanyahu’s coalition far more stable in inverse proportion to how strong Likud is polling.

Which brings us to the wrinkle, which is our presidential election here at home. Currently, Netanyahu’s biggest fear is that President Obama will do something on his way out the door related to the peace process and/or settlements, ranging from what Netanyahu views as disastrous (a binding UN Security Council resolution) to enormously inconvenient (a speech laying out Obama’s views on parameters for future two-state negotiations). Netanyahu and Israeli officials have been furiously lobbying everyone from the president on down not to make any moves on this front, and they have been counting on the uncertainty of the election outcome to forestall any surprises, since Obama will not want to do anything that may drive Jewish voters in Florida, Pennsylvania, Ohio, and other swing states toward Trump. After the election though, all bets are off, and this is particularly so in the unlikely but still possible case that Trump wins, since then Obama will have no concerns about saddling his successor with a policy on Israel that may not be to his liking. Even if Clinton wins as expected, the unusually harsh American response to the Israeli government’s plan to build a new neighborhood in Shilo for the relocated Amona settlers makes Netanyahu and his coalition partners fear that there is an American sword of Damocles waiting to drop.

In Netanyahu’s calculations, the one possibly foolproof thing he can do to head this all off at the pass is to bring Yitzhak Herzog and his Zionist Union party into the government and make Herzog foreign minister, which explains the dalliance with Herzog a few months ago and the constant reports that he and Herzog are once again cooking up plans for a unity government. Netanyahu thinks that bringing in Herzog and giving him the diplomatic portfolio will signal to the world that he is genuine in his desire to see a two-state solution, and that it will prevent a post-election move from Obama while starting him off on the right foot with Clinton should she win. It will also not bring down his government if Herzog can bring enough Zionist Union MKs with him to replace the eight from Habayit Hayehudi who will leave should Zionist Union join, and while it leaves Netanyahu with a suboptimal coalition from a policy standpoint and creates future political problems for him, it gives him diplomatic breathing room.

I am skeptical that Netanyahu’s fears are well-placed since I think the likelihood is greater than not that Obama does nothing earth shattering on the Israeli-Palestinian front before he leaves the White House, but there is also little question that Netanyahu’s calculus on this is presenting him with a political choice and that he is weighing his options. So the intersection of American politics and Israeli politics are indeed important for the next few months, but the impact will be far more heavily felt in Israel than here.