Direct democracy is talked about more and more here in the UK. We've had several referendums over the last few years. The questions are:
Were the referendum results determined by dirty tricks?
Why hold referendums when we elect (and pay for) governments to make decisions on our behalf?
Would referendums be necessary if parliament were representative (in the statistical sense) of voters?
Have the referendums really settled the issues, or will the same questions be asked again?
If you take the view that majority rule and minority rights is necessary for democracy, a majority government without a majority of votes is a problem. If you don't take that view, then you would probably want a different non-proportional voting system, but we've already rejected AV (instant runoff voting) in a referendum.