Wire wrapping is extremely unreliable, no sass intended astrodude. The concept is that wrapping a post or extremity will produce an easy method of connection. However....wire, usually copper, the perfect conductor of electricity, being flexible, aka a soft metal, is affected by temperature, as all metals are. In cold it contracts, in heat it expands. Also, the tension you use in wrapping, loses grip, relaxes eventually, and slides off if the item is jarred or shaken. Take the time to learn some basic soldering, and it's brother, shrink wrapping. Not hard to learn, and with a bit of practice, and the basic tools Grendel outlined, it will become routine.
Once you seal a model up with this method, it is easy for this to happen, and performing surgery is never a good thing. It just isn't a good way to do it unless your are simply conducting a test run on a circuit.
Trust me on this, it's no fun when the lights stop working..... 