What browser are you using? I just tested in Chrome, and the green bar works just fine.
As for evSSL, there is no requirement that I'm aware of that scripts from other domains can't load. That would break evSSL on almost every page out there due to Google Analytics, Facebook, and tons of other features like you suggest. I just tried a selection of big domains as well and they all include other content while still keeping the evSSL breen bar, like
www.godaddy.com/
Hope that helps,
Alex