Egypt is ranked 11 in military power. Israel is tiny. It could be finished in a day.
Have you been to Sinai? Tanks and military every few miles;)
Egyptian troops are also trained like guerillas;) just like Iran. They can survive in the desert and are I would estimate a lot harder than your average American or Israeli.
Just ask any Egyptian who done national service.
30 years build up of military paid for by US aid 
Bit like the taliban.
You can never trust them;)
It would be a very different scenario nowadays.
Also they had Sadat then!!