If I purchased the queen Elizabeth islands from Canada, and populated it with about 300 or 400 million people of French ancestry.
The Answer is simply no.
What I would have created (at best) is a gigantic France with only the possibility of it being richer than France.
Maybe it could create an extremely powerful French-based country, the most successful perhaps that French people have been in world history...
What I simply would not have reproduced is American Innovation, and the American spirit..
That comes from diversity, not even the biggest homogeneity.