President Isaac Herzog on Saturday tasked Gadi Eisenkot with forming Israel's next government, choosing the former military chief over incumbent Benjamin Netanyahu after 67 lawmakers endorsed Eisenkot versus just 46 for Netanyahu. The decision, while expected given the numbers, opens a coalition-building window loaded with contradictions. The arithmetic is brutal. Eisenkot's four-party Yashar alliance holds 48 seats. Netanyahu's right-religious bloc has 53. Neither clears the 61-seat threshold. Arab-led parties — the Joint List (11 seats) and Ra'am (8 seats) — won a record 19 seats combined and endorsed Eisenkot, giving him the mandate margin. But Eisenkot has explicitly ruled out forming a government with them. That leaves two viable paths. First, Eisenkot courts the ultra-Orthodox parties — United Torah Judaism and Shas — to reach exactly 61 seats. Second, he forms a minority government and wins a parliamentary confidence vote with external Arab party support, a formula that would leave Palestinian citizens of Israel as structural props for a government they cannot enter. Ahmad Tibi of the Joint List acknowledged this openly, calling it no "dream government" but preferable to the Netanyahu-Ben Gvir-Smotrich alternative. The anti-Netanyahu alignment is the only glue holding this configuration together. Eisenkot, a career military figure who sat in Netanyahu's war cabinet during the first eight months of the Gaza war, shares almost no policy agenda with Arab-led parties. Their endorsement is entirely negative — a vote against Netanyahu's coalition, not for Eisenkot's program. Tibi's framing was blunt: Netanyahu is "the biggest terrorist in Israel and the region." Netanyahu responded with the rhetorical playbook of cornered incumbents: a prerecorded video warning that a government dependent on "Islamists" would "dismantle the state of Israel from within," echoing far-right European tropes about Islamic law. The language signals his strategy — delegitimize any coalition that relies on Arab support, making it politically toxic for wavering Knesset members. Eisenkot has 28 days, extendable to 42, to assemble a coalition. If he fails, Herzog nominates another candidate. If that fails, parliament can back a third. If all three fail, new elections are called within 90 days, with Netanyahu continuing as caretaker PM. The clock favors Netanyahu: every day without a coalition is a day his narrative about ungovernable alternatives gains weight. The structural question is whether Israel's political system can produce a government where the kingmakers are permanently excluded from the room. Arab-led parties have the leverage to block Netanyahu but not the standing to shape policy. That is not a coalition — it is a mutual hostage arrangement dressed up as democracy.