IIRC Syria was part of Egypt...and not that long ago.
Egypt HAD a decent tourist industry under these conditions, as well as some other economic benefits.
It is possible that the military wants to return to those conditions.
Maintaining or improving the peace with Israel and pulling support for the misnamed "Arab Spring" "rebels"/terrorists, would tend to improve stability in the ME, and make it more difficult to suck Egypt into a war for the Caliphate and against Israel.
I wonder if 0zero gave all this tanks and F16s to Morsi so he could go to war with Syria???
“Reuters is reporting that the Egyptian Army ousted former President Mohammed Morsi in part over his calls for backing the Syrian rebels against dictator Bashar al-Assad.”
I can only think this is a half truth.
The protests against Morsi were NOT directed at his calls for support for the Syrian “rebels”. They were not in the street for that reason.
IF - a big IF - the Rueters report is 1/2 right - then (a) the Egyptian military used the excuse of the protests against Morsi to act against him for their own reasons, however (b) I doubt the military would have risked violent protests against them if there had been no such excuse and they had deposed Morsi anyway.