Battling Palestinian militants in Gaza two years ago, Israel found itself pressed from all sides by unfriendly Arab neighbors to end the fighting.

Not this time.

After the military ouster of the Islamist government in Cairo last year, Egypt has led a new coalition of Arab states — including Jordan, Saudi Arabia and the United Arab Emirates — that has effectively lined up with Israel in its fight against Hamas, the Islamist movement that controls the Gaza Strip. That, in turn, may have contributed to the failure of the antagonists to reach a negotiated cease-fire even after more than three weeks of bloodshed.

“The Arab states’ loathing and fear of political Islam is so strong that it outweighs their allergy to Benjamin Netanyahu,” the prime minister of Israel, said Aaron David Miller, a scholar at the Wilson Center in Washington and a former Middle East negotiator under several presidents.

Although Egypt is traditionally the key go-between in any talks with Hamas — deemed a terrorist group by the United States and Israel — the government in Cairo this time surprised Hamas by publicly proposing a cease-fire agreement that met most of Israel’s demands and none from the Palestinian group. Hamas was tarred as intransigent when it immediately rejected it, and Cairo has continued to insist that its proposal remains the starting point for any further discussions.

But as commentators sympathetic to the Palestinians slammed the proposal as a ruse to embarrass Hamas, Egypt’s Arab allies praised it. King Abdullah of Saudi Arabia called President Abdel Fattah el-Sisi of Egypt the next day to commend it, Mr. Sisi’s office said, in a statement that cast no blame on Israel but referred only to “the bloodshed of innocent civilians who are paying the price for a military confrontation for which they are not responsible.”

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