A guy like Mubarak actually sees himself as the 'father' of his country. As far as he is concerned, his 'children' are erring in failing to see how necessary he is for their well being. Thus, they need a lesson. They need to see how worse off they would be without him.
The lesson has a number of parts. You replace the old government with a new government consisting of the same type of military players. The new boss is the same as the old boss, and the only boss you are going to have. No change from Mubarak, so no reason to remove Mubarak. No reason to protest more.
You withdraw the police, and use the undercover police to loot and pillage ("2 looters were just caught in Muharram Beyh neighborhood of Alexandria who had police ID cards and were members of undercover plainclothes force."), empty prisons, and play up the dangers on local television, thus frightening the middle classes. You even attack strong symbols of the country in looting the Egyptian Museum ('a high-ranking member of the ruling National Democratic Party was involved in the attack on the museum'). The message is that the strong hand of the 'father' is needed to preserve order. As bad as things are, they could be worse.
Of course, you continue to cut off communications to keep the levels of tension high. You even kick out that annoying Al Jazeera bureau.
The 'children' have to stop their childish fantasies. Life isn't perfect. They have the best government they can possibly have, and striving for something different is hopeless and very dangerous. Come to think about it, that's pretty much the same lesson we are all supposed to learn.
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