So, to sum up: we have a Polish sausage, which was called, in effect, a "Polish Sausage from the Jewish Part of Town," but then it acquired the alternate name "Juke Town Polish."
And that name?
Juke = Probably from Gullah juke, joog, disorderly, wicked, of West African origin; akin to Wolof dzug, to live wickedly, and Bambara dzugu, wicked, unsavory.
Leaving us, at last with a "Polish Sausage of Unsavory Origin" or "Polish Sausage Which Has Lived in a Wicked Manner." Imagine the pure and innocent sausage, corrupted by the disorder and wickedness of Big City life. With onions. Mmmmmm.