The coup that deposed the first democratically elected President in Egyptian history (the Muslim Brotherhood’s candidate Morsi) was born out of an opportunistic alliance among all the factions of Egyptian society that resent the Islamic bent of the Muslim Brotherhood: the army, big business, the old Mubarak apparatus, the religious minorities (mainly the Copts), and young westernized crowds.
The army was indifferent to which ideology prevails but expects a stable and competent government. Mubarak was an old-fashioned dictator but had hired competent people to run the economy and Egypt was actually posting good GDP growth.
Big business in Egypt was vocal in its criticism of the elections won by Morsi and never quite accepted their verdict. Big business, by definition, was standing by Mubarak, and many businessmen warned Egyptian society of chaos if Mubarak was deposed. Since that is precisely what happened, they feel vindicated and empowered. They were the ones lifting the Egyptians masses from utter poverty, albeit pocketing most of the wealth. The Muslim Brotherhood and their faith in Allah could not put bread on the table of millions of families. Big business could, and wanted the people to realize the difference between superstition (if God wills it) and 21st century economics.