http://www.abc.net.au/news/2014-08-...leave-australia-without-head-of-state/5696770
This is of great interest to Australia. The Constitutional Law is pretty easy on this aspect, as explained in the article.
A chance for another Referendum on a Republic, which will succeed as long as the politicians keep there noses out of the Presidential/Head of State electoral process. The minute they want direct selection by them people will vote no, simply because they do not understand how much people hate them and hold them in utter contempt.
And yet, I am very wary of a directly elected President, though I am a committed republican (ie support a republic for Australia, not the USA Republican style of politics). Any single person with the popular vote can, and probably will, take upon themselves a mandate from the people, setting up possible conflict between that individual and the properly elected government of the day. Remember, with caution, the power John Kerr took upon himself and he was appointed by the government. Delusions of grandeur will often accompany or develop in the holder of high office.
I am also wary of the USA type situation where there can be stalemate between the President and the congress, at times leading to quite severe political inaction.
Don't know what the solution is, but hopefully a model can be devised that will satisfy the majority. What we don't need is for a minority monarchist element to use differences in the republican movement to again hinder the will of the people.