It is early May 1967 the Soviets do not bother with false information of an imminent Israeli attack on Syria and Nasser decides to leave well enough alone for the time being, he has that bothersome Yemeni affair to deal with as well after all. Egypt does not send her army in the Sinai, the straits of Tiran are not closed, Israel does not mobilize and operation Moked isn't launched either. Arab-Israeli relations will remain poisonous but there won't be war... this year at least. How do things go from there? Nasser is still going to die in a few years, though someone may argue that without the stresses of OTL he lives somewhat longer. Quite a lot will hang on his successor who may not be necessarily Sadat. And Israel continues being a close French ally, at least for the time being and if the alliance can make it past De Gaulle's retirement without war derailing things it may well be staning long term.
Thoughts?