Not to mention the Shura for things like selecting a new Caliph in early Islam:
Shura
Islam is pretty compatible with democracy at its core.
I don't know why people are still making this shura = democracy argument.
islamqa.info
Some people think that the word democracy is equivalent to shoora (consultation) in Islam! This is a mistaken notion for many reasons, including the following:
1. Shoora has to do with new matters that arise or with matters that are not explained in detail in the texts of the Qur’an or Sunnah. With regard to the “rule of the people”, the people may discuss what is well-established in religion, which may lead to refusing to acknowldge the prohibitions on that which is forbidden, and to forbidding that which Allah has permitted or made obligatory. So the sale of alcohol is permitted according to these laws, as are fornication/adultery and riba (usury), but these laws put pressures on Islamic organizations and the activities of those who call people to Allah. This is diametrically opposed to sharee‘ah, so what does this have to do with shoora?
2. The majlis ash-shoora (consultative committee) is to be formed of people who have a deep knowledge of fiqh, Islam and sharee‘ah, fahm, and have a high level of piety and good character. So no one who is of bad character or foolish, or is a disbeliever or atheist, is to be consulted or involved in the shoora process. As for the democratic councils of representatives, they pay no attention to any of the con ditions mentioned above. The representative may be a disbeliever, or of bad character or foolish. What does this have to do with shoora as prescribed in Islam?
3. Shoora is not binding upon the ruler; the ruler may give precedence to the view of one member of the council that is supported by proof, and prefer his view over that of the other council members, whereas in the case of representative democracy, the agreement of the majority becomes legally binding upon the people.