Morsy has also been accused of authoritarianism, forcing his conservative agenda through edicts and a narrow majority. He has squared off against Egypt's judiciary, the media, the police and even artists.
"The Muslim Brotherhood has not recognized that it has to take into account the 48% that didn't vote for it," CNN's Fareed Zakaria told Wolf Blitzer on Tuesday. "There are many people who feel that the constitution was rammed down the throats of a lot of Egyptians, that it contains within it many illiberal characteristics, things that are kind of the Muslim Brotherhood's Islamic agenda written into the basic framework of laws."
[Updated at 5:16 p.m. ET, 11:16 p.m. in Egypt]
Wherever Morsy is, he doesn't appear to have accepted his ouster. He says, in a taped statement just aired on Al Jazeera, that he is still the country's legitimate president.
He also said he remains open to negotiate and to engage in dialogue.
Stressing that he was democratically elected, he called on his supporters to continue their peaceful demonstrations but avoid infighting and bloodshed.
[Updated at 5:11 p.m. ET, 11:11 p.m. in Egypt]
The U.S. Embassy in Cairo has ordered the mandatory evacuation of all nonessential personnel, CNN's Jill Dougherty reports, citing a senior administration official, who spoke on condition of anonymity.
[Updated at 5:08 p.m. ET, 11:08 p.m. in Egypt]
A few hours before Morsy's ouster was announced, soldiers and police were deployed to certain areas of the city. CNN's Ivan Watson, reporting from Cairo, said these forces generally surrounded areas where supporters of Morsy and the Muslim Brotherhood were gathered.
To recap the demonstration scenes: Anti-Morsy demonstrators are celebrating in Cairo's Tahrir Square, but there is a substantial pro-Morsy crowd elsewhere in the city.
Some of those protesters oppose Morsy but also oppose pushing from power a democratically elected leader, said Gehad El-Haddad, a spokesman for the Muslim Brotherhood, which helped boost Morsy to power last year. "Under no circumstances will we ever accept a military-backed coup," he said.
[Updated at 4:42 p.m. ET, 10:42 p.m. in Egypt]
The chairman of the U.S. House Foreign Affairs Committee has weighed in:
"It is unfortunate that Morsy did not heed popular demands for early elections after a year of his incompetent leadership and attempting a power grab for the Muslim Brotherhood," U.S. Rep. Ed Royce, R-California, said in an e-mailed statement. "Morsy was an obstacle to the constitutional democracy most Egyptians wanted.
"I am hopeful that his departure will reopen the path to a better future for Egypt, and I encourage the military and all political parties to cooperate in the peaceful establishment of democratic institutions and new elections that lead to an Egypt where minority rights are protected. But make no mistake about it, Egypt is in for very difficult days."
[Updated at 4:36 p.m. ET, 10:26 p.m. in Egypt]
Pro-Morsy satellite television stations have been cut off by the Egyptian military, Muslim Brotherhood spokesman Gehad El-Haddad said Wednesday in a post on his official Twitter account.
[Updated at 4:26 p.m. ET, 10:26 p.m. in Egypt]
We noted earlier that the Muslim Brotherhood wouldn't be pleased, and now it is expressing its displeasure officially.