You're wrong. Domestic means issued by any country. It is perfectly OK to drive here as a visitor on a UK, US, Canadian, wherever driving licence. (in the same way that I can, for example, use my British or HK driving licences to drive in the US, Europe, Canada, Australia, etc.)
Just out of curiosity, if you are Canadian, why do you spell licence the American way? All the online references I can find say that Canadians spell it the British way.