“We have significant restrictions here - universal licencing and universal registration among other things - but private ownership of firearms remains perfectly legal.”
So, private gun ownership is no longer a right. It’s now a privilege. Ability to own a gun is decided by your government. Very sad.
But having acknowledged that, it's Americans who seem to want to keep telling us we've had rights taken away. Most Australian gun owners don't really feel that licencing and registration is a significant impost - we have similar rules concerning cars and driving (and I believe the US requires both car registration and licencing as well). If you're a law abiding citizen or permanent resident of Australia, owning firearms isn't difficult. It's so easy that the idea we've had our rights violated seems odd - it's Americans who seem to be so worried, not us.
We have plenty of other problems with our gun laws - mostly based around bureaucracy and paperwork and issues like storage. I'd much prefer a looser approach as I know does apply in much of the United States - I prefer your system to ours - but it's really not that bad.
Freedom of speech and freedom of the press, and the erosion of those rights concern me far more than our gun laws - and I am a gun owner who does take that seriously.