Well, it actually has ten: Canada, U.S.A., Mexico, Guatemala, Belize, Honduras, El Salvador, Nicaragua, Costa Rica, and Panama (and, if you count Greenland as basically autonomous from Denmark and as part of North America, 11, but I wouldn't).
But, it can be worse. An upsurge of French colonization of Quebec can cause a Quebecois revolt motivated by the American revolution, cutting the Canadian colonies in half. Combine this with Napoleon successfully putting down the Hatian slave revolt (or, conversely, not reinstating slavery in the first place), and the Louisiana purchase never happens, so manifest destiny is butterflied. If this significantly reduces American nationalism, it couldmake the war of 1812 result in New England and Maritime Independence and unification. However, Napoleon having Louisiana might butterfly 1812, although the Continental System and, therefore, Britain's counter-blockade would probably still be there, so maybe not. Then French Louisiana becomes independent after Napoleon falls, and so does Mexico. Texas probably doesn't secede without American migration, which probably won't happen with Louisiana in the way. The remaining Canadian colonies get the rest of Oregon, and Russia gets Alaska, which probably becomes independent after the Czar is overthrown (yes, the Bolshevik Revolution is likely butterflied, but the Czardom simply can't last.)\
So, we have:
1: The United Provinces of New Britain (New England+Nova Scotia(New Scotland), so New Britain- consists of New England and Maritime Canadian Provinces)
2: The United States of America (New York-Florida, Atlantic-Mississippi)
3: The Republic of Louisiana
4: The Republic of Quebec
5: Canada (Newfoundland+Laborador, Provinces West of Quebec, Oregon Territory)
6: Mexico (OTL 1825 Mexico)
7: Alaska (OTL Alaska)
8: Guatemala
9: Belize
10: El Salvador
11: Honduras
12: Nicaragua
13: Costa Rica
14: Columbia (Notably, the absence of a powerful U.S. likely prevents Panamanian independence, giving Colombia territory in North America.
So, we add New Britain, Quebec, Louisiana, and Alaska, and replace Panama with Columbia. I can't really see it getting any worse, unless Americans migrate through Louisiana to Texas, triggering an Independence movement, but that would likely end with America taking Louisiana, reversing the desired effect.
In this world, no powerful US will form, North America is doomed to decades of suspicion and brinkmanship, and Britain and Germany remain the dominant powers... unless Soviet Russia still rises.