Thanks guys for the help. The replacement parts came with a stainless rivet.
After reviewing the post by GeoPeg, these cars do come with the all Delrin knuckles that GeoPeg has described.
Between the two pivot points at the top and bottom of the coupler head, there is a very small spring-like bracket with two prongs. The prongs fit inside the bottom of the top knuckle hole, and the top of the bottom knuckle hole. The replacement knuckle has to fit between the two prongs which would then hold the replacement knuckle in place. Therefore, the two prongs have to be spread apart to insert the replacement knuckle.
The plastic spring attached to the replacement knuckle (see my photo in original post) has to be squeezed against the knuckle in order to be inserted inside of the coupler.
I have not yet mastered the required technique in order to spread the bracket, and insert the replacement knuckle while squeezing the spring at the same time!
This style of coupler does not utilize a rivet to secure the knuckle to the head. A rivet cannot be used because the spring-like bracket blocks the path of the rivet through the coupler head.
Yikes!