Firstly, Australia is still a British Commonwealth country, and the largest proportion of landholders (by a significant margin) are British.
Secondly, your point is specious. Why would the status of another country have any bearing on the independence of the USA ?
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Because Austrailia broke away after we did, therefore if they be taking rebelling states back into the fold Austrailia would likely be the first. Especially since their military is a 100 Fighting Kangaroos.
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My point was that Australia never left.
The Governor General, who is appointed by the Queen, shall be Her Majesty's representative in the Commonwealth.
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After receiving their Commission, the Governor-General makes an Oath of Allegiance and an Oath of Office to Her Majesty and issues a Proclamation assuming office. Formally, the Governor-General's appointment is at Her Majesty's pleasure.
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The Governor-General has many important constitutional, official and ceremonial duties to perform. For example, the Governor-General:
dissolves the Parliament and issues writs for new elections;
commissions the Prime Minister and appoints other Ministers after elections;
gives assent to laws when they have been passed by the two Houses of Parliament - the Senate and the House of Representatives;
acts on the advice of Ministers through the Executive Council to issue Regulations and proclamations under existing laws; appoint Federal judges; ambassadors and high commissioners to overseas countries and other senior government officials; issue Royal Commissions of enquiry; exercise the prerogative of mercy; and
authorises many other executive decisions by Ministers such as raising government loans or approving treaties with foreign governments.
The Governor-General is the Commander-in-Chief of the Australian Defence Force
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Oath of Office