That "Special Relationship" wasn't in place when we declared war on Germany.
It was a later invention of Sir Winston Churchill who was of course only half English. The other half of him was American.
We do indeed owe a major debt of gratitude to "the Dominions" - especially to the Canadians - and not all of us Britons have forgotten. A quarter of those who waded ashore in Normandy were in the Canadian divisions and tens of thousands of Canadian aircrew have their last resting places in Europe. The Canooks contributed out of all proportion to their numbers and if it wasn't for them - particularly the Royal Canadian Navy's Mid-Ocean Escort Groups - we wouldn't have held out long enough for the Americans to use Britain as a jumping off point in Europe. Without the contribution of Canooks, Aussies, Kiwis, Indians and men and women from all the other parts of the old empire, we probably would have gone under by 1942.
Then the Americans probably wouldn't have bothered to come to Europe at all, the Cold War would never have happened and our military men would all be wearing enormous hats and speaking Russian...