Desktop GUI builder tools such as Qt Designer and Glade let me easily design a resizable interface with menus, shortcuts, tab order, status bar, etc
Is there an equivalent tool for the web?
I am not after building a typical web interface where you scroll down to view all the content, but a fullscreen interface with menus at the top and status bar at bottom.
Here is an (awesome) example fullscreen web app: http://desktop.sonspring.com/
For the kind of interfaces you're describing, ExtJS is quite a nice library. While there is not a GUI interface designer yet, there is reportedly one in the pipeline.
While the widget library is available under GPL3 (which caused some controversy), it's also available via commercial licenses. The interface builder will cost some kind of money.
Check out the demos, there is a desktop sample very similar to the one you referenced in your question.
The Flash Platform would probably give you a more familiar environment to develop for. The Flex framework provides a complete framework for developing sophisticated applications and Flex Builder (built on top of Eclipse) gives a UI 'designer' to build large parts of your app using the drag & drop philosophy.