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Canada does not have any statute which says you need an Anglo last name to be counted as a Canadian.

I do not have such a name, and, by golly, I'm a citizen of this little patch of dirt.

I suspect that it would certain that such a renaming requirement would violate something in the Canadian Constitution and its Charter of Rights and Freedoms.

http://en.wikipedia.org/wiki/Constitution_of_Canada

In Vancouver it's well known that the overwhelming majority of Chinese people who emigrate here have English variants to their name. If anything the study underestimates the figure as many non-Canadian Chinese (particularly in HK) do have western variants.

To your last point (assuming I'm reading your last sentence correctly). I don't think its a race/nationalism thing - I think it's more of a concern because people don't want properties being used as investment vehicles for foreign money and driving up the price for people whose primary use of houses in the area is shelter.