Russ, the first thing you should do is pray that you don't need to remove the trafficator.
I hope you understand that the entire trafficator in the steering center is not supposed to turn with the steering wheel. The horn button and signal lever should always remain stationary, regardless of the position of the wheel. Once you understand that, you should know that the function of the horn and turn signal switches should be completely irrelevant of steering wheel position. So first you should correct the issue if the trafficator is moving with the steering wheel.
The trafficator must remain stationary for the mechanical self cancelling mechanism of the turn signals to function. It also must remain stationary to keep that bundle of wires from rotating inside the stator tube.
If I were you, I'd look at the wires that come out of the steering box (down the inside of the stator tube from the trafficator) and see if anything there shows signs of moving with the steering wheel. Look for loose bullets, damaged insulation or broken wires. You should be able to 'hot wire' the horn and blinkers from the wires there without removing the trafficator -to be sure the problem is with the trafficator. Be careful because the horn is not switched with the key and has it's own fuse, while the blinkers are not. Refer to the wiring diagram and you will see it is not very complicated. -There are 3 switches inside the trafficator (left/right/horn).