I don't see how people can still care about or support monarchies. I'd be interested in someone explaining the reason they do, for me it's and archaic tradition that gives people privilege by birthright, a drain on taxpayers and without any positive use.
According to opinion polling my opinions on this matter aligns with those of the largest segment of Australians - I don't care
. This apathy means that myself and a (smallish) majority of Australians will vote to preserve the monarchy next time we have a referendum. Community support for a republic really isn't there at the moment, and this is why there hasn't been a major push for a second referendum since 2000 despite three of our last four Prime Ministers (Kevin Rudd, Julia Gillard, Malcolm Turnbull) all been committed supporters of a republic.
The main reason that apathy is translating into lukewarm support for the monarchy in Australia is, IMHO, two fold. The first is the argument that a constitutional upheaval thst will ensue will be phenomenally expensive and a time wasting distraction. After the 1988 Australia Act
and subsequent abolition of appeals to the Privvy Council, Australia is fully self-governing and the Parliament in Westminster or British courts cannot interfere in our legislative or judicial affairs. Other than the emotional tug of an "Australian head of state" what precisely does a republic get us? So long as they leave us alone to do our own thing people here will tolerate them as the lazy option.
The second thing that counts against us becoming a republic is that the republic movement cannot agree on what they want. There are many models of a republic model from the US on the one hand to Germany on the other, and many more. Ask the republic movement what they see as our alternative governent and they all shuffle their feet, they can't agree. For this reason there isn't really a sustained drum beat for change in public discourse at the moment.
To summarise I don't so much as support the monarchy so much as tolerate them as the past of least reseistance. I definitely wish to avoid the crippiling upheaval and cost of a change of system here so will most likely always vote for the monarchy whenever the questions comes up here.