I pay ~500 US/mo for health insurance. Just for me, no dependents. Not an exotic low-deductible health insurance plan. 2% on top of income tax sounds like a dream.
It's actually anywhere between 1%-5% depending on your income but I didn't want to get too detailed in my comment. And you'd still have the absurdly long wait times. And the out of pocket expenses. Again, not a problem if you can actually make use of what you're paying for.
I do have to state though that the US healthcare system, minus the fact that most healthcare research/advancements happens there, is crazy.
I am not confident enough to say that someone in Australia does or doesn't pay the 5%. I can ask the ATO but otherwise can't know. I am stating the range of how much it is.
It can be less/more than 2 percent too dependent on income. But yes we are extremely blessed in this country with a healthcare system that isn’t perfect but is extremely affordable.