So I found a guy on ebay who was selling all the internal parts for the horn - the metal 'plunger', spring, and plastic part.
I jumped on it, as I was missing all of these things, and the dorman kit did not work.
I put it together, and it seems either the plunger is too short, or the spring is too long. Here are some pictures. I didn't think to get out the micrometer to measure the plunger, but one pic has all three components next to each other.
If someone could let me know what I need to change here. If this is all original Fiero stuff, I didn't want to start cutting the spring or throw out the plunger. Thankfully the little plastic thing is in perfect condition!