Which means that the southern volunteers for the Union army were an even more important segment of their society than their numbers would represent in the north.
As for your numbers about the draft, you cite a total just shy of 250,000 names drawn. Some paid a commutation, others hired a substitute. But let's assume that all of that number served. Out of a total for the Union army of 2.2 million men, they barely top ten percent. The rest were volunteers. By contrast, in the confederate army, according to the same source you cite, "Conscripts accounted for one-fourth to one-third of the Confederate armies east of the Mississippi between Apr. 1864 and early 1865. "
So, let's see. Huge numbers of southerners volunteered for the Union army--something like one southerner in ten who volunteered for service volunteered for the union. Southerners conscripted into the confederate army composed a much higher percentage of their soldiers than did conscripts to the Union army. The south was confronted with a homegrown guerilla movement in the Unionist areas, something the north never faced. And somehow you come to the conclusion that the north was vociferously opposed to the war.