It seems that the terminology is causing some confusion. The definition of a wiki is "a website which allows its users to add, modify, or delete its content via a web browser" [1], which is pretty much the opposite of "static." I assume that what you want is a static site generator that has organisational features that are common in wiki software...
My favourite wiki software is Gitit [2]. It uses Pandoc [3] to convert from an input format (such as Markdown) to HTML. Perhaps you could write a simple script that iterates through all source files and renders the HTML to a destination directory using Pandoc, creating any subdirectories as required. That minimal solution should be very easy to implement; adding organisational markup within the HTML would require some programming.