No need to rewire. These controllers are plug and play. They are great.
The controller has a temp probe with it. You drop the probe into the freezer and you are good to go. There are many debates on the best place to place the probe for efficiency or way to wrap the probe to help it better measure beer temp rather than air temp... But all that is personal preference in my opinion.
There are some good threads on here about temp control in a keezer... They are worth the read. For example, the keeze will naturally be colder at the bottom than the top of the box. Some people, self included, use fans to stir the air in the keezer to prevent this. Some tape the temp probe to their kegs to measure keg temp rather than air temp. Still others put the probe in water to prevent the unit from turning on whenever they open the door.
For the basics, buy the controller, tape the probe to the lid in such a way that it hangs down about 6-12 inches without touching anything, set it to a +\- 3 degrees and you are good to go.