This makes things much more clear @lemouth. I think I grasp what you were trying to say in the previous post now. Thanks for breaking it down and providing the examples (and pictures). I understand how the forces are separated as they are generally unrelated to one another and are just a function of these two classes of particles.
We are able to detect a dark photon if one were to form in the LHC, due to the small amount of light electromagnetic character which is present?
Exactly. As the amount of normal photon inside is small, the events are rare. But then on needs to multiply by billions of bilions of collisions. Therefore, we will get some of them, hopefully enough to be able to see them.