Direct democracy tends to lead to tyrannies of the majority. I'd much prefer a multi-party system with some form of instant-runoff voting or mixed member proportional voting.
*voila, as the French: https://en.wiktionary.org/wiki/voil%C3%A0
Representative democracy leads to tyrranies of the oligarchy. We don't need any more evidence for this.
I too, however, would prefer a run-off election.
*voila.
Unless you really meant "raped", but for some reason I feel like this isn't it :^)
...You just described the legislative branch. Direct democracy has its own problems; even if you scale for proportions of people, the people leading their everyday lives do not have the time to inform themselves en masse of particulars about issues, and thus would be readily swayed by false information. (As can already be seen with voting on ballot measures, which are a headache enough just being statewide)
And *viola