The US was forced to re-supply Israel because of the massive re-supply of egypt by the soviets. In any case, Israel would have been victorious with or without the US re-supply of weapons because we were fighting for our very existence and the arabs were fighting to regain the suez canal and the sinai desert. Motivation of the individual soldiers were totally different. If Israel would have been at the real brink of defeat, Dayan would have resorted to limited tactical nuclear bombing of egypt and the egyptian 3rd army in sinai.
Report: Man detained at Newark Airport after entering secure area, prompting evacuation (Haaretz)
from the article: 44 dead as divided Egypt marks 40th anniversary of Yom Kippur War