As far as I know, a Caliphate elects a leader for a lifetime term, rather than having regular elections. Some caliphates choose their leader by a small group rather than have the masses choose, but ...
Did the Founding Fathers of the USA really make a distinction between a Republic and a Democracy (and despised the latter)?
I've come across this video: http://www.youtube.com/watch?v=E-gEkKzRvbI It makes a distinction between a Democracy (rule of majority) vs Republic (rule of law). It contests that a Republic is a state ...