It would not be a question of how much more Canadian America would have become, but how much more American Canada would have become.
OTOH, one wonders how much of Mexico the southerners would have managed to aquire on their own, or if Bonaparte would have sold his Louisiana territory to a weaker [southern] neighbor.
Given the martial nature of the caveliers, I could also see them getting into a war with Spain over Cuba, or France over New Orleans.
Even though not intended as so, I'm taking that as a compliment Mac..lol This cavalier notion....seriously....it is more rooted in the old Southern gentry. The bulk of white Southerners are Scots-Irish and English and the former may owe their migrations to Roundhead pressures, it hardly made us Cavalier in a class sense. We were more non-pedigreed working class. But, we were also more likely Protestant...unlike the later purely Irish waves that landed mainly in the North. I'd like to think I come from the Charlies but I know most of my ancestry is hardscrabble. I have Huguenot blood as well....a similar religious conflict migration but no Cromwell. Who was that nasty mother of the Dauphin that made life hell on French Prods? Catherine di Medici? and the St Barts Massacre. Anyhow....one can tie a string between cavalier mindsets in the south and roundhead sensibilities amongst the Puritanical North but it is somewhat tenuous.