"What struck me this time was the call for emergency law and emergency measures, and it was just ignored," Cook said. "The people in Port Said were demonstrating and just thumbed their nose at the government."
Protesters behind the Egyptian revolution now feel betrayed, particularly as the state security agency was changed in name only to homeland security, Stacher said. No one from Mubarak's coercive security apparatus was sentenced for any violence during the revolutionary rallies, he said.
Protesters now just throw rocks at police during most encounters, he added.
"This all boils down to something very basic," Stacher said. "The people demanded real change in Egypt but were lied to and their wishes were postponed and they were told they weren't important.
"And the generals went around and created this exclusivist coalition (with Morsy's government), which is what people were protesting against in the first place," Stacher said.
In fact, protesters began calling Morsy "Morsilini," a reference to the late Italian fascist dictator Benito Mussolini who was Adolf Hitler's ally. That nickname arose after Morsy gave himself sweeping powers in November.
Morsy later canceled most of those powers following demonstrations. That turn of events hurt Morsy's image because he was enjoying international attention for playing a constructive role in the recent, bloody conflict in Gaza between Hamas and Israeli forces, analysts said.
The stakes are high for a country strategically positioned in Middle Eastern politics and in world trade through the Suez Canal.
"I don't think the international community can afford for (Egypt) to collapse economically ... or politically," Cook said.
The defense minister's warning is "very important" because "it shows the military has been in consultation about this. That's why I take it more seriously," Cook added.
In the coming month, Egyptians will go to the polls to elect a lower house in Parliament. The election will be a bellwether on how Morsy's Muslim Brotherhood now stands against the opposition coalition National Salvation Front, analysts said.
"They are smart people," Stacher said of opposition leaders, "but the problem is that they don't seem like they want to have a real democracy either."
For now, the Egyptian military doesn't appear to want to intervene and run the Egyptian government again as another president is selected.
"If the situation deteriorates further, the military might not have a choice and it might find a warm reception," Cook wrote on his blog for the Council on Foreign Relations.
In a revolution, the first government typically doesn't stay in power, as seen in the Russian and French revolutions, Coyle explained.
"Usually it gets replaced by more radical elements of society," he said.