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Not sure how you get this to work but how do we get a Cold War where the Israelis are supported or even allied to the USSR and the Arab states like Egypt and Syria supported by the West?
Best way I can think of is Suez going slightly differently and Britain and France end up attacking Israel to keep them out of Egypt leading to the same sort of break with Europe that happened to Egypt IOTL. Israel would still need arms to protect them from the Arab states and the US wasn't touching the region in the early/mid '50s so the USSR is the only source of arms. A pro-Soviet Israel probably makes the Syrians pro-Western and Jordon was pro-Western IOTL.