Correct me if I'm wrong, but I thought the original question had to do with the principles outlined in a constitution and whether some majority or all citizens agreeing with the entire body of principles was required for the government established under that constitution to be legitimate. That government's electoral system is a subset of the larger set of principles.
That's pretty close, but not quite precisely correct (as far as I know since the poster of the OP has not followed up).
The key to understanding the OP is in the quotations from Rawls and Habermas at the end of the OP (who happen to be two of the biggest and most important names in philosophy of the 20th century).
The key question pertains to the issue of claiming democratic legitimacy for any given government act (or use of government power and authority)). When/why/how can any given act of a government be understood to have 'democratic legitimacy'? Rawls and Habermas offer two rather different methods or criteria for judging this issue.
As a general rule, I much prefer Rawls to Habermas on a whole host of issues, including the one raised in the OP.
All that being said, I didn't address either Rawls' or Habermas' position, but rather I took this line of the OP to heart:
Any comments on this general area of the problems of democratic models would be welcome.
Thus, in my original reply to the OP, I focused upon an argument that essentially adds another layer or question to the issue of democratic legitimacy and government acts by asserting that the essential 'democratic legitimacy' that is presumed to derive from our present system of voting of the citizenry is highly questionable in the first place, according to real democratic principles.
Both Rawls and Habermas are accepting that 'elite rule with the consent of the governed' is 'democratic'. I'm saying that is only 'pretend' democracy.
On the subject of democracy and republican systems, they clearly are different. Both are considered both good and bad, depending on the perspective. Direct democracy was called the "mob" by the Founders of the United States government, and was severely distrusted. It naturally led to factions and political parties, which tend to tread a zigzagged path of governance. In a republic, as Dormouse notes, representatives "rule with the 'permission of the governed'." It is arguable that this is an indirect form of democracy; in fact, most dictionaries include representative governments as a secondary definition of the term democracy. It is certainly closer to democracy than other forms of government. I would argue that the institution that makes the U.S. republic less democratic is party. The Founders agree ...
Regarding dictionaries and words, the functional purpose of English language dictionaries is not necessarily to pronounce the "definition" of any given word. Rather, dictionaries seek to record the ways and means words are actually used. English is a
living language. It grows by popular will - dictionaries record this
evolution over time.
And since our governments and society like to call our form of 'elite rule with the electoral consent of the governed' as 'democracy', then dictionaries will record this fact.
As a general rule, this issue is one of the most common grounds of philosophical disputes. Words very often have a common meaning that is understood by all people. Those same words often have precise and technical meanings to those who are academically trained in the topic. Thus, two people can have vastly different understandings of the same word - such as 'democracy' or 'republic', to use to perfect examples.
I definitely follow the academic-technical definitions of these particular words. To me, democracy always means 'rule by the people' and 'republic' always means rule by a 'non-hereditary elite' (almost always an oligarchy). Common usage of these terms does not coincide with this at all - particularly in the USA.