Yes, you could repair the wires, but it sounds to me like this car might be better served by just disconnecting them, to prevent the battery from being discharged. It is a common trouble. We all have it. Not just the 81-87 cars.

Disable it by disconnecting this plug right above your left knee.



If you really like central locking, spend $30 on a keyless entry and driver's door actuator (that's the thing that moves the lock knob).

http://cleanflametrap.com/keyless3.html
--
Art Benstein near Baltimore

Three men were sitting together bragging about how they had given their new
wives duties.

The first man had married a woman from Utah,
and bragged that he had told his wife she was going to do
all the dishes and house cleaning that needed done at
their house. He said that it took a couple days but on
the third day he came home to a clean house and the
dishes were all washed and put away.

The second man had married a woman from Maine.
He bragged that he had given his wife orders that she was
to do all the cleaning, dishes, and the cooking. He
told them that the first day he didn't see any
results, but the next day it was better. By the third
day, his house was clean, the dishes were
done, and he had a huge dinner on the table.


The third man had married a girl from Maryland.
He boasted that he told her that her duties were to keep
the house cleaned, dishes washed, lawn mowed, laundry
washed and hot meals on the table for every meal. He
said the first day he didn't see anything, the second
day he didn't see anything, but by the third day
most of the swelling had gone down and he could see a
little out of his left eye, enough to fix himself a
bite to eat, load the dishwasher, and telephone a
landscaper.