How to make a responsive theme in Zen 5? Modules and procedures to keep or to leave from older Zen versions
I would avoid getting confused.  Zen Grids is not the same as the panels module.  The fences module just makes it easier to override the default field html output.  The responsive menu you showed is just css and a media query.  

A little zen might help also, take a deep breath and repeat after me, "It is all just css."