No, it hasn't done that, YET.
(Although I think a historical examination of ancient greece is applicable there.)
edit
(I don't mean to imply a false equivalence between direct democracy (what the Athenians had) and representational democratic republicanism, which is what Mainiac is advocating. I was addressing the statement that "tyranny of the majority" has done less damage, historically, than tyranny of the minority (eg, despotism.) I was pointing out a historical example of such damage. I am implying that the reason it has not done so much damage compared to its counterpart, is because it has been used less often historically, and should not be considered any less dangerous.)
(Further, there's the inherent problems with representational republicanism-- The refusal of elected representatives to accurately represent the political wills of their constituency, and instead act on their own volition. This is a trend away from majority decision making, back toward despotic rule-- The only real safeguard would be something like term limits to prevent continual re-election (such as from "electioneering") This trend of representatives favoring their own judgements over the political wills of their electorate is implicated in a lot of problems in the US right now, such as the undue influence of political lobbyists in the policy making process, which give rise to allegations, like those made against former representative Chris Dodd, when allegations of quid pro quo were levied. If the elected representative strictly adheres to the political will of their electorate, then they simply temper that political will into their representational vote. If they however, decide not to do so, and impose their own opinion first, then they are acting not as a representative, but as a patrician. )