Saying that, does 'North America' refer to the continent or the Northern States?
The Continental grouping that renounced English rule.
Canada never really amounted to anything anyway eh.

The Southern states did not have the industrial base to become any kind of world power, while the Northern states did have the industry their energy would have been sapped by constant friction, and competition with the South, almost certianly including further wars.
The enduring animosity would have led to alliances with opposing European factions that would have brought Europes wars to this continent just as it did Africa and the Middle East/Arabia.
Such a situation could very well have altered the outcomes of both World Wars and the Cold War.