yeah lol. nothing like floppy music. i think you need to check your wiring because the Arduino is receiving data(the orange light blinking), maybe re-upload the sketch, or try putting a LED on the direction and step pins to see if they blink. also, you only need three wires(maybe 4): conenct one to 18(direction, dig 2), 20(step dig 3), jumper 12 and 11(drive sel to gnd), and then any ground to the arduino. from the vid i think you have 18 and 20 mixed up. you have dig3 - blue - 18 and dig 2 - green - 20. maybe you could try putting a GND to 14 instead of 12 (that would select drive 1) if the cable is different.
see here for more: Digitalduino: Moppy - Playing Music with Floppy Drives!