But he claimed USA's uniqueness as not being a nation state, among other things. "Unique" means "only one".
There are several ways of not being a nation state. Canada and Australia follow pretty much the same model. The US are different. If unique I cannot say, but certainly very different from most others.
we threw off the yoke of the Monarchy that ruled us. I think Canada fails on the second part
I don't think the Canadians saw the monarchy as a yoke the or even see the monarchy as a yoke now.
Canadian republicanism is rarely an advocate of more freedom. Usually it's left-wingers and nationalists who want to end the monarchy.
Canada thus didn't "fail". They just didn't want to create a new state.
Either way, neither the US nor Canada are nation states, and Canada and the US are certainly very different.
Nation state and "not nation state" are not the only two models.
There are city states (country defined by the city), duchies and principalities (country defined by land ownership), empires (country defined by one law governing more than one people without representation of those peoples), federations (country defined by one law governing more than one entity or people with representation of those entities or peoples) etc.. Nation states can be federations (but not empires). Federations require definition of the entities making up the federation. The entities can be nation states, duchies, empires etc..
(I love lists.)
1. Nation states: France, Germany (which is also a federation), Israel, Turkey (see below), Spain (see below)
2. City states: Bremen, Hamburg, Vatican (also something else)
3. Duchies/principalities: Wales (also nation state), Luxenburg, Monaco, Andorra, Vatican (a member of many categories)
4. Empires: the British Empire, the Roman Empire, the Iranian Empire (until 1979), the US (around 1900)
5. Federations: the US, Germany (also a nation state), the United Kingdom, Austria-Hungary (a federation made up of two empires)
Note that some nation states are nation states by virtue of not recognising other people living in the state (Spain before the 70s, Turkey). Somethines other nationalities are recognised as minorities (Danes in Schleswig-Holstein, Sorbs in Brandenburg and Saxony, Jews and Greeks and Armenians but not Kurds in Turkey, Kurds in Iraq).
The US are unique in that they are no nation state and do not acknowledge ethnic minorities (as nationalities). (The Indian tribes are not ethnic minorities but sovereign entities.)