"But if you multiplied your armed forces by 10, then you'd probably have a similar mix. You wouldn't have 10 times your current number of elite forces as you'd have more average joes joining up just like we do. Increasing the size of anything reduces the median quality."
not entirely true, in America, your soldiers require 6-8 weeks training before they are considered soldiers, in Canada you need over 2 years of training. The sheer difference in the amount we train our soldiers before they get into battle is the reason we have higher quality soldiers (and the fact that Canadians are just superior). America, even before they became the world power always had the quantity over quality ideology, Canada has always had the opposite. I don't think increasing our population would change that...
"The real test would be to pit SEAL Team 6 or one of the other SOCOM teams (maybe a Marine Force Recon team) against one of your best teams in mock combat. I bet they are fairly comparable, despite your claims of superiority. And I hate to tell you, but the SAS and the SEALs get their martial arts training from MCMAP (Marine Corps Martial Arts Program) where I got my green belt back in 85."
It depends on the terrain. For example, the SAS are trained solely for urban combat, there weapons are specialized just for close range room to room combat expected in cities, this makes sense as every one of their missions takes place in urban environments. However most Canadian soldiers are trained in desert or arctic combat, and that makes sense as most of our soldiers are in the middle east, a desert, or stationed at home, which for the most part is arctic.
If the Canadians got their ideal enviro, I don't think anyone except maybe the spetznas could take them on.
"I agree with Gunfighter06. Also, technological superiority, vast resources, better logistics, a much larger navy (that could take on all other world naval powers combined), superior and larger air force, overwhelming numbers of infantry through conscription, and a huge nuclear stockpile are all on America's side."
Not counting your nuclear stockpile, times our navy by 10, same thing with our army and air force, we would win.
Your logistics becomes obsolete once you realize that your norther defense program is stationed in northern Canada, and would be obsolete once the enemy is closer to you then your logistics that are suppose to be defending you.