The National Coalition for Supporting Legitimacy has urged its supporters to besiege voting stations and stop the voting process during the constitutional referendum on 14 January.
The coalition urged people to take part in what it called "The January 14 Uprising" to besiege those who "support the military coup" inside the voting stations.
In a statement it issued on Friday, the coalition also called on people to rally in the streets on 14 and 15 January and until the 25th to commemorate the January 2011 uprising.
"Alexandrians have marched from 12 mosques in different parts of Alexandria today to declare their refusal for the military coup and its consequences," the statement said.
The Islamist coalition was founded by the Muslim Brotherhood and its Freedom and Justice Party to which former President Mohamed Mursi belongs. Other parties such as al-Wasat Party and also contributed to the founding of the alliance.
In another statement on Thursday, the coalition called for boycotting the elections, describing it as "a betrayal of the martyrs".
The Freedom and Justice Party has also urged people to boycott the elections, saying that the new constitution is a false document in form and content.