They overthrew the Shah and created the Islamic Republic of Iran.
There is a supposition in this question that is partially incorrect, namely that the primary or most important people to overthrow the Shah were fundamentalist Muslims. This is not the case. The Iranian people, most of them traditional or secular Muslims revolted all across Iran. The Religious Fundamentalists were a minority of those Iranians who were protesting. When the Shah abdicated, there was an intent to create a Republic that represented the Iranian People. However, between April and October of 1979 (after the Shah had already departed the country and the Islamic Republic of Iran declared) the Ayatollahs were able to consolidate power and create the Constitution of the Islamic Republic of Iran which vested the Religious Fundamentalists with political power.
They overthrew the Shah and created the Islamic Republic of Iran.
There is a supposition in this question that is partially incorrect, namely that the primary or most important people to overthrow the Shah were fundamentalist Muslims. This is not the case. The Iranian people, most of them traditional or secular Muslims revolted all across Iran. The Religious Fundamentalists were a minority of those Iranians who were protesting. When the Shah abdicated, there was an intent to create a Republic that represented the Iranian People. However, between April and October of 1979 (after the Shah had already departed the country and the Islamic Republic of Iran declared) the Ayatollahs were able to consolidate power and create the Constitution of the Islamic Republic of Iran which vested the Religious Fundamentalists with political power.
Islamic Republic of Iran was created in 1979.
IRAN had the Islamic Revolution in 1979.
It was the revolution in Iran in year 1979 against the reign of Shah Iran Reda Bahalwi. Accordingly, the Islamic Republic in Iran was established.
Islamic Republic of Iran Air Force was created in 1979.
Constitution of the Islamic Republic of Iran was created on 1979-10-24.
Islamic revolution
Iran
1979 AD
Iran.
The current constitution of the Islamic Republic of Iran dates from October of 1979.
The Islamic Republic of Iran
Islamic Revolution in 1979.