It seems you Americans dont understand the Westminster government, nor any Commonweath parliaments.
What I think goonie was trying to say that every four citizens elect one leader, or MP, to represent their 'constituent'. In australia it is called an electorate. you live in an electorate, and you vote for somebody to represent your electorate. Except an electorate is supposed to contain about 80,000 people who live in a similar area.
The MP's vote on things that concern the entire nation.
Before the MP's are elected, they say who they will elect as the President if they get voted in. If they do get elected, they make their vote for the president.
The provinces (over here we call them 'States') have seperate electorates also. except you are electing state MP's, who vote on matters concerning your state (as in where you live, not your condition)
on an unrelated matter, lets change the system of how we vote. the way it works - we all vote, as usual, except we all make a 2nd preference. But the poll only counts if more than 50% of the voters vote for the winner. If, by the time all the first preferences are counted, and over, nobody is over 50%, the candidate with the least votes is eliminated, and the 2nd preferences are counted for all the people that voted for the eliminated candidate.
I heard somewhere that in an american election, there are only two candidates, which means that the winner never has less than 50% of the votes. The system described above lets there be three candidates, and the winner will still have more than 50% of the votes. With slight modification, there can be 4, 5, 6, or 100 candidates, but the winner will always have more than 50% of the votes.