The USA in all probability winds up sharply more like Canada and the European states of its time than the Confederacy. Without the Southern states that were in the old Confederacy it embraces industrialization and capitalism on a much more sweeping fashion while the absence of the reactionary planter elite prompts the emergence of Social Democracy, Socialist, and Communist movements as *the* challenge to the elite. The USA now has every reason for a larger land army, will be orienting itself against slavery and to some extent for greater racial equality in its own territory, and the more the CSA degenerates into a basket case, the less the USA will actually consider a full-fledged re-absorption of the Confederacy unless it has no choice. The CSA will probably wind up surviving in the fashion of Zimbabwe and North Korea, given money to avoid its collapse and the ensuing but inevitable disintegration.
Thus the USA winds up more militarized than IOTL (if for nothing else than the desire to AVOID a war caused by the inevitable attempts by slaves to run over the US-CS border and the inevitable slavecatcher raids that follow), but more European-style than IOTL in terms of political situations and challenges (industrializing, democracy, no giant agrarian caste system stuck in an 1880s timewarp into the 20th Century), and in all probability as the CSA proves to be an economic sinkhole keeping one eye on its rickety former cousin without focusing too much on the Confederacy at all.