How do I move Panel (Not Launcher) icons in Ubuntu Unity?
You can't move the indicators on the panel. The video shows the 11.04 version of Unity which has the Dash button on the left side of the Unity panel (ClassicMenu Indicator just uses the same icon).
I'll be frank, you can't. I didn't see what your were referring to in the video either.
Unity's panel is not really customizable beyond transparency (in 11.10 and up) and in how the system tray shows non-system-indicator icons. You cannot put the icons on the left.