Simple..... take off ya sneakers.
It's the rubber on carpet building up the static charge. As a general precaution, touch the metal case on ya puter before touching any internal components if ya worried about having a static charge.
E-SATA works great. I love the hot swap 2.5' drive on the DF-85 for exactly that purpose.
Though, why not simply "share" the drive and copy the files over the network ?