This is my first post, so go easy on me, but this topic is basically how I ended up here so I've been thinking about it a lot.
I think regardless of who wins, we'll see at least the same basic level of unrest we have now. There's no putting the genie back in the bottle, so we can only hold steady or get worse from here.
That being said, I have to agree with others that point out that civil war isn't going to be what we think of when we picture the 1800s. There aren't two clearly defined sides; there's so many different interests, with sub-factions and sub-sub-factions that I don't see it playing out that way. Throw in the geographic diversity (it's not like "all the slave states are in the south") and it's a recipe for something way messier.
The only way I see true "civil war" occurring, and not just everyone taking pot shots at their formerly friendly neighbors, is if there's a secession by a couple of major states, or a group big enough to make a difference. For example, if CA or TX secede because they've had enough of it, there's going to be 1) a mass migration in and out of people who agree or disagree with the position of that state, and 2) a huge battle over the finances and natural resources they're taking away from the federal government. At that point, it comes down to who's in charge federally, and whether or not the military sticks with them when they decide to "take back" a state.
Alternatively if, say, the plains states and part of the midwest break off as a group, you'll have the same natural resource issues and a potential overpopulation problem (I predict more conservatives would try to move into those states than liberals would leave) that would overwhelm the "small town" infrastructures in those places, leading to more unrest.
Plus, at any time during any of these scenarios, another nation could come in and try to take over territory they see as weak, maybe by offering financial or military assistance to the state governments... and then it's not a civil war, but a world war.
So let's be optimistic and hope the looting is the worst thing we see for a while.