US Memorial Day 2019

To some extent, yes although the Commonwealth countries are not bound militarily through being part of the Commonwealth. The government is a bit of an interesting one. Technically, the queen of England is the same person as the Queen of the other commonwealth nations but she takes on a different role.
The Queen of Australia presides in the best interest of Australia when she is acting as the Queen of Australia. 

Historically, with the British Empire, British ideology and attitudes toward colonial people and the smug belief British way of doing things was better, never sat well with the colonies. None more so than the Australians. 

WW1 created a bit of a rift in the Australia/British relationship.  www.bbc.co.uk/history/worldwars/wwone/australia_01.shtml

WW1 improved relations between Australia and some other nations most notably USA.
The battle of Hamel on July 4th 1918, may have been relatively small in scale. But we have an Australian General using his brand of leadership in an Allied offensive and this time green American troops are on the scene. The date of the offensive was not by accident and may or may not have psychologically helped the American troops. their presence certainly helped Australian morale.  There's an unwritten psychological doctrine in relation to how Australians fight, it's probably similar in other nations, we call it mateship. It normally takes a while for the bonds to develop, for that common love to form where you'd go through hell and back so your mate didn't have to. There were no American's and Australians when the battle unfolded, the brave men of both nations fought as mates and bloody good ones. 
www.historynet.com/world-war-i-battle-of-hamel.htm


Fast forward to 1939, Australians were still very much militarily allied with Britain but it's citizens were now far more independent in attitude so while WW1 call up was about rallying for Britain, which many Australians thought of as home still, the callup of WW2 was about rallying for the Defense of Australia and her interests which included England. Australia wasn't under immediate threat and sent her troops to help protect Australia's allies interests for combined benefit.  As the war progressed, Britain has a new prime minister and The Japanese are threatening the Australian region.  Churchill's attitude and his lack of respect for Australian Sovereignty or the welfare of Australia was clearly evident and was a reminder of past imperial attitudes. He expected Australia to "obediently" put her everything into the war in Europe regardless of how threatened Australia was. 

Churchill had a pretty piss poor track record when it comes to war involving Australians and Kiwis. Quite happy to sacrifice when his countrymen aren't  paying for it. He was primarily responsible for the Gallipoli debarcle although, his countrymen payed for that too and so did other commonwealth countries.. During WW2 Basically, Churchill did not respect Australia or Australian independence or her people enough to at least let them come home to defend their homeland. Germany was not threatening Australian interests but Britain seemed to be. The threat from Japan was looming and Australian troops should be here defending it. 

When the Japanese bombed Pearl Harbour and the USA declared war on Japan, Australia declared war on Japan prior to Britain and without any backing from the UK. That action, possibly alerted Britain to the fact that Australia is independent and doesn't require the UK's cooperation.  Unlike the UK, The US moved to commit resources to halt Japan's advance and protect Australia's interests which very much aligned with their own as well as committed resources to the European interests. 
nerdalicious.com.au/history/churchill-and-the-emergence-of-a-truly-independent-australia/


The Military Alliance with the US and Australia and New Zealand remains stronger than ever in the ANZUS treaty. 


All of the Commonwealth nations have since WW2 built independent relationships, I'm pleased today that we are essentially all on the same side and that US govt has an ongoing interest in the Welfare of Australia and most of all, that I have not forgotten, that it has not come without loss of life.