Well, if you look into history carefully, you will find that Arab armies did not intend on moving beyond their previous borders. Both Egypt and Syria were rational in their actions. They were after their own territory, occupied by Israel. Syria had succeeded in recapturing the Golan and had stopped exactly at its previous border. In fact, it had negotiated, through the USSR, a ceasefire through the UN security council after it had recaptured its territory. Both Egypt and Syria, no matter what both of them thought about the Jews, knew the consequences of invading Israel proper. Israel by then possessed nuclear weapons and this knowledge was passively passed to both powers in the years before the war. Your victorious propaganda note is therefore completely irrelevant.
U.S. to deliver 8 advanced F-16s to Egypt on July 30-31, U.S. embassy in Cairo says (Reuters)
from the article: Newly released documents: Division and disarray on eve of Yom Kippur War