Australia has a stable democracy because Australians love a stable democracy, not because we have the King or Queen of England.
There are plenty of monarchies in the world that are not stable, like Thailand and Fiji, and plenty of republics that are stable, like Ireland, Germany and India.
We should make our system stronger. Not many Australians look at our system of government and think it's perfect, let's be honest.
We should replace the parts of our system that are undemocratic and English with parts of our system that are democratic and Australian.