Didn't you miss a tiny thing?
Um nup!!
Last time you tried to get rid of her Majesty Elizabeth the Second, by the Grace of God, Queen of Australia and Her other Realms and Territories, Head of the Commonwealth, you failed. Too many Aussies pressing the "Like" button then, eh?
That's the problem with you Yanks, (and yes you chicken chopping southerners, you're Yanks too.) you have no clue about anything more than five minutes from your continental enclave. Yes there was a failed referendum ,but that was more about Keating trying to make himself self elected Emperor than about any obligation to the UK and it's inbred Monarchy. The reason why it was soundly rejected. The closest we come to in regard to obligation to the old dart is to let the poms win the Ashes about 4 times a century.
I don't think the US would like to see a UK monarch sneaking back in through the back door.
While your efforts in Boston of old were bold and effective, I doubt modern day USA would notice if Canada became Buddhist. I mean you've had the entire nation of Mexico sneak into your land and you've barely noticed it happening.
By the way, what happened to "Defender of the Faith"? No faith in Australia any more?
I don't know maybe he got a job or he is whoring about on that chicken chaser motorcycle he bangs on about. In Australia he'd likely be lost somewhere at the wheel of a Melbourne cab.