I have a Mac with jEdit 4.5 installed on it, including the Sidekick and the JavaScript plugin from here1. Now when I open the Sidekick window, I can choose from two JavaScript parsers (skrul-xml-javascript and skrul-javascript).
However, none of them parses my JavaScript file (the window only shows the document name with "Not parsed" underneath it). When I open a PHP file and choose my PHPParser, it does parse the file and shows clickable PHP function names.