horn issue

38 Dodge,
I hear you. I had a flash back nightmare on my sons Jeep Wrangler repair. The reason we were in the steering column was he had a turn signal that once activated for right turn only would kill one of the brake lights. Ends up the switch shared the brakes and turn and had failed mechanically which caused the electrical not to work. In the process of changing that switch, I assembled the horn ring incorrectly and it did what yours is doing. Is there any part there which you are not certain is assembled correctly? If you could find the input to the horn relay you might be able to check the control line to ground with the wheel off, then, assuming you have an open, you could assemble while watching that input line resistance reading, and see when it goes to a short, that would tell you when the contact is being made. Good luck, electro-mechanical can sometimes be a pain!!!