Egypt was massing troops on the border in preparation for an attack. Israel simply is too small to risk a cross border attack---look what happened in 1973 (the Yom Kippur war). From Wikipedia on the 1967 war, as you seem to have forgotten the actual facts: "Following numerous border clashes between Israel and its Arab neighbours, particularly Syria, Egyptian President Gamal Abdel Nasser expelled the United Nations Emergency Force (UNEF) from the Sinai Peninsula in May 1967. The peacekeeping force had been stationed there since 1957, following a British-French-Israeli invasion of Egypt which was launched during the Suez Crisis. Egypt amassed 1,000 tanks and nearly 100,000 soldiers on the Israeli border and closed the Straits of Tiran to all ships flying Israeli flags or carrying strategic materials, receiving strong support from other Arab countries." And lets not forget that Nasser publicly stated that he planned to push "The Jews" into the sea.
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Initial report of stabbing attack in South Hebron Hills (Haaretz)
from the article: Haaretz exclusive: Olmert's plan for peace with the Palestinians