There is always the option of letting mediators / superpowers / the UN have a go at it before dropping the bombs.
If you read more in-depth sources from the war, there is clear indication, that there was much room for diplomatics. And that the Egyptians did not want war.
June 2, 1967:
" 1517. Eyes Only for President and SecState from Robert Anderson.
1. There follows a summary of my talk with President Nasser. Unless otherwise indicated, I will be trying to express his point of view to me.
2. After exchange of pleasantries, Nasser said he became worried and afraid of Israeli attack because of speeches and his own intelligence of mobilization by Israel and the intelligence shared with Syrian Govt. As an example, he stated that 13 brigades were mobilized near Syria.
3. Nasser explained that he did not want repetition of 1956 affair when he was reluctant to believe that an attack had begun and was slow in moving troops to Sinai only to be caught between the Israelis in the north and the British at Port Said. He said he felt he had no choice but to mobilize and send troops to Sinai, which he did, and request the removal of UN forces. While he did not say so, I believe he was surprised at the rapidity of the removal of UN troops because he said they were only a token force and would have created no real obstacle.
4. He was asked specifically if he intended to begin any conflict and he said to please explain to my govt that he would not begin any fight but would wait until the Israelis had moved. This was qualified by saying that he did not know what the Syrians would do and had worried all day (Wednesday)/2/ for fear the Syrians might start something out of anger because of the pact which he had made with Hussein. He also stated, that, contrary to most public opinion, he did not have control over the radical elements of refugee organizations who were interested only in starting a conflict because they had no real responsibility for the conduct of military affairs. He was asked if this conflict occurred, for example, if Syria should attack against his desires, whether he would respond and he answered affirmatively, saying that any conflict begun, whether in Jordan or Syria, would necessarily bring response from him. "http://www.state.gov/r/pa/ho/frus/jo.../xix/28057.htm
Paints a pretty different picture, right?