Wucker has argued that non-citizen voting, also known as resident voting or municipal voting because it is limited to residents of cities in city elections, prepares people for US citizenship and helps their communities. The "New York Times Book Review" described Wucker’s 1999 book, "Why the Cocks Fight: Dominicans, Haitians, and the Struggle for Hispaniola", as "a complex exploration of the cultural divide between Haiti and the Dominican Republic." The book addresses historical, economic, political and social dimensions of the relationship between the two countries sharing the island of Hispaniola, viewing conflicts over culture as the symptoms rather than the root cause of the tensions. She is a recognized expert on the topic.