I want to start by saying you're about 90% correct, and I'm glad that people have found your post to be very educational (bad experiences in the past with being misunderstood).

In both pre-civil war era and the civil rights era, the south wanted to have their cake and fuck it too. They were crying 'states rights' when we established the Missouri Compromise, but whined about the weak federal government with regards to the fugitive slave act. One of the primary drivers for the Emancipation Proclamation was actually escaped slaves after the outbreak of the civil war. The North didn't know what to do with slaves that escaped, were liberated, or surrendered (slaves were sometimes conscripted instead of the slaveholder fighting). It was a situation that was starting to get unmanageable because of political pressure and the number of slaves, so essentially the Emancipation Proclamation was a last ditch effort to divert Southern forces into defending their slaves while solving a real problem in the North (it actually was fairly successful in this sense).

In the civil rights era, it was states rights when it came to integration, but a failure of federal to allow MLK's nonviolent direct action to occur (yea, I know about COINTELPRO; perception vs reality etc etc).

The connection between the 2 and the modern day? They were all conservatives. The "Democrats" during the civil war were the same as the Republican party from the 1920s to now. The hypocritical rhetorical methods being used by conservatives to argue against the right to abortion has existed since Locke published Two Treatises of Government.