Third largest navy under British Command, the RCAF did not have any forces deployed to Europe, all Canadians airman deployed to Europe deployed as Royal Air Force. All Canadian squadrons in Europe were RAF squadrons. That's why all the squadrons are "400" prefix, 400 was the number the British applied to Canadian units in the RAF.
Canada's lack of debt had nothing to do with Canada's total reliance on the Americans for Canada's economic well being, which preceded 1945, Canada made its peace and became a protectorate of the Americans when the Americans shelved their plans to invade and annex Canada, which they maintained until 1925.
The Americans were of course totally capable of going it alone, they were not actually planning to occupy Europe indefinitely after the war, and in terms of the Soviet threat, America went with the hydrogen bomb as the solution to that.
Which worked, except for the part where they almost destroyed themselves for West Berlin in October of 1962.