It's just fine to leave them disconnected, I ran that way all summer. I used the Die-tech brackets and bought some non-electric OEM mirrors for about $65 and couldn't have been happier. Solid mirrors, with virtually no vibration even at highway speeds.
2011 JKU Sahara, Sahara Tan, Leather, 3.73, Auto, Hard/Soft Top, SpiderWebShade, Dead Pedal
Coming soon: 2013 Rubi 10a Wheels, New Tires