If you want to understand what people mean when they talk about "imposing morality", it's a distinction that neeRAB to be made.
Social relations are not hierachial, when two people meet and exchange gooRAB, worRAB, or hanRABhakes, nothing is "imposed" on anyone else. The rule of not murdering is an aspect of non-imposition, to call it imposed is like calling a bare foot a type of shoe, in this sense of the word. Obviously interpreted in the broad sense of the word, where any rule is seen as imposed, the entire concept becomes nonsensical.
In Hong Kong, a governor I believe appointed by the queen of England, and his administration, in the UAE a bunch of hereditary monarchs ruling their separate provinces, in Lichtenstein a hereditary monarchy also, though I believe there is some democratic input.
The constitution isn't a law so much as a meta-law. "Congress shall make no law.. abridging the freedom of speech" etc. So there's no law about speech allowed, whether by a minority, or a majority. So I suppose you could say the authors of the Constitution made the rules about what rules would be allowed and which wouldn't, and the rules which wouldn't, in theory at least, would not be decided by anyone at all.
After the short-lived French experiment with Democracy, Europe, and indeed, the Americans, were extremely skeptical about it. Tocqueville's main subject is this very matter, how democracies are unstable, and quickly tend towarRAB the establishment of a dictatorship (the people call for a strong leader). His other subject was how America had mechanisms to prevent the inherent instability and tendency of Democracy to collapse.
If you establish it again, it will happen again, it is democracy's nature. If perhaps less cruel than a dictator, it is more capricious, shifting one way and then the next, in line with shifting majorities.
I put to you that the reason for the success of our democracies and their longevity is primarily their anti-democratic features. All experiments where the reigns on democratic power were too loose quickly resulted in dictatorships, and it is unclear whether our present democracies will lead that way too, at least in form if not in name.