Public opinion surveys show that people really like the idea of democracy. As Xavier Marquez puts it, asking about democracy is like asking about motherhood:
In most of these countries (including many countries most people would classify as “authoritarian”), more than 75% of the population says that having a democratic system is a “very good” or a “fairly good” idea, while only small minorities claim democracy is a “very bad” or a “fairly bad” idea. In the modal country, in other words, large majorities are “pro-democracy” in some abstract sense. Nevertheless, these same majorities are not always very discriminating about what they consider “good” political systems. In some countries, large numbers of people agree both with the idea that democracy is a good form of government, and that having the army rule, or having a strong leader “that does not bother with parliament and elections” is also a good thing.
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The WVS also asks a number of questions about whether people consider various things “essential” to democracy, ranging from classic liberal ideas (free elections, equality under the law, civil rights) to economic and social outcomes (income equality, unemployment help, progressive taxation), to “antiliberal” ideas (“religious authorities interpret the laws,” “army takes over if the government is incompetent”). And though many people all over the world tend to agree that elections and other liberal freedoms are essential to democracy, there are clear differences in public opinion about what other things they also consider essential.
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If I may speculate here, elections only seem to legitimate governments — ensuring some degree of institutional stability — when people already agree that they are fair. They do not have any magic “legitimating” powers if people do not already agree on their fairness; and whether people agree on the fairness of elections is only in part a function of their objective fairness. Deep conflicts in society may “spill over” to the fairness of elections.