In case anyone is wondering... This issue seemed to resolve it self. Here is what I did and it magically went away.
I tried once again rebuilding the demo from scratch. Downloading each file to a local directory.
And for some reason now there is no delay with the CSS styling! Good...great!
So I added the newest version of each library, one by one, testing the demo for each file I upgraded. Still no issues. In the end I successfully got jquery 1.9.1, jquery mobile 1.3.0, lodash 1.1.1(compatibility version), requirejs 2.1.5, and backbone 1.0.0 working with the demo.
Can't explain why it works but I'm glad it does!