Israel's military is conscript based, with respect for authority being pretty weak among the ranks (that's why you hear about so many discipline problems in the IDF, entire units simply refusing orders is a routine occurrence, at least at peacetime). I can't see any military leader managing a coup without the rank and file going immediately "fuck you, we're deserting"
Heck, when I was in the IDF back in 2007 some soldiers from my unit were considering temporary desertion as a form of protest against manpower issues.
People said the same thing about France before Napeoleon came to power.