all you guys are wrong....
the smoke is perfectly normal, everyone has it, just kinda drive around and hope it doesn't get worse, then, when you wake up to go to work the next morning, your car will look like this!
for serious though, just wire it back up, put some electrical tape on the twisted together wires (you know NOT to solder anything), just make sure the twist is tight, so you have a steady contact, and just daily the car, worry free!