It's amazing the different picture you can get when look at non Hasbara sources. (Hasbara is the Hebrew word meaning to explain, and also the name of an Israeli organisation and government program that diseminates propoganda to Europe and America. See
http://www.infoisrael.net/ as one example.)
For example, you could look at what Yitzhak Rabin, chief of staff of the IDF had to say in 1968 to Le Monde:
"I do not think Nasser wanted war. The two divisions he sent to the Sinai in May would not have been sufficient to launch an offensive against Israel. He knew it and we knew it."
You could look at what Menachem Begin (Israeli cabinet member during the war) had to say:
"In June, 1967, we again had a choice. the Egyptian army concentrations in the Sinai did not prove that Nasser was really about to attack us. We must be honest with ourselves. We decided to attack him"
You could look at what Moshe Dyan had to say about the way the IDF deliberately provoked the Syrians, repeatedly violating the DMZ until the Syrians fired, at which point Israel would respond with artillery and air strikes.