That would have never happened without British involvement, since they controlled the sea. Furthermore, as the article pointed out, Napoleon and America shared similar ideals. Finally, fighting a war in your homeland is infinitely easier than the supply lines Napoleon would have had to maintain to fight in America. It would have been absurdly expensive and would have opened France up to attack from its unfriendly neighbors. In conclusion, I do not think there is a likely scenario that envisions an America under Napoleonic rule.