What happens if you try version 2 of the JavaScript? Currently you're using version 1. Sometimes it's a problem that people have a copy of jQuery.cycle in their JavaScript which can cause problems and changing versions can solve it.
Does the Rotating Tweets javascript appear before or after your global-js script? If so, otherwise I've attempted a fix in the Development Version (lines 1851-1853) which forces it to go after global-js which may, hopefully, also solve the problem.