Aladdin City is a small area of Florida. Not too much is readily known about its history or relationship to the Nights but I'll put what I find on this page over time.
From wikipedia: Aladdin City is an unincorporated community in Miami-Dade County, Florida, United States. It is located about 20 miles (32 km) southwest of Miami within the unincorporated community of Redland.
There was mention of it and a great flyer in the following article on Opa Locka Florida and its Nights-inspired architecture, but I can't find the flyer for reproduction at the moment but will also post it here when I do.
Article: Dream and Substance: Araby and the Planning of Opa-Locka
Author(s): Catherine Lynn
Source: The Journal of Decorative and Propaganda Arts, Vol. 23, Florida Theme Issue (1998),
Published by: Florida International University Board of Trustees on behalf of The Wolfsonian
Stable URL: http://www.jstor.org/stable/1504168