AHC: Chicago as US Capital

With a point of diversion occurring after 1800, make Chicago, IL into the Capital City of the (integral) United States.
 
Cincinnati was anointed capital to replace DC. Maybe the Confederates burn down Washington and the US relocates the capital to a more safe position for the duration of the war. Post-War Lincoln never returns to Washington and the capital remains in Chicago.
 
Might a radical socialist government in the US move the capital to Chicago, a la the USSR moving the capital to Moscow?
 
Firstly, why? Secondly, moscow was the ancient and traditional capital of russia, chicago most certainly isnt.

They might move the capital to signify a break with the old bourgeoisie goverment and a new era in history. They might select Chicago because it is a large, industrial city, but one that is more central in the US, and it doesn't have any historical connetations with the ousted goverment.
 
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