There is no coherent definition of an Islamic Republic since Iran, Afghanistan, and Pakistan are all considered Islamic Republics and have widely various systems of government.
The definition that most people use when they say "Islamic Republic" is the Iranian style of government. It has an elected house of congress made of laypersons and a lay president. However, it has a powerful judiciary made of Islamic Scholars who have a veto over all laws, appointments, and candidate selection for the congress and the president.
The major religion in the Chechen Republic is Islam, with the majority of its population adhering to Sunni Islam. Mosques play a central role in the religious and social life of the community, and Islamic traditions heavily influence daily life in the region.
Sunni Islam
Islam has had the greatest influence on the Constitutions of the Islamic Republic of Iran and Kingdom of Saudi Arabia.
Christianity, Kimbanguist, traditional beliefs, and Islam.
Mainly catholicism islam and christianity
The Knesset is a parliament of the Republic of Israel.
Iran
Bangladesh is a republic country with Islam as a major religion. It has borders with India and Burma.
Egypt.Arab Republic of Egypt
Arab Republic of Egypt
Their main religion is Islam. (They're Muslim). Afghanistan is officially the Islamic Republic of Afghanistan.
In the name of Allah most gratious most mercifull, The word Islam comes from the root word salam means peace, submision, or surrender, and who ever submit his will to Godalmighty he will be called Muslim , or u can call him follower of Islam , and this is chosen by Godallmighty him self.