Not quite sure I get it. How have you applied the color correction to the clips? By putting them in individual sequences? It doesn't quite work that way.
You have to make the multiclip first by setting In or Out points or putting markers in all the clips. Then right click and select make multiclip. You'll get a sequence with an icon of all the clips. Next you drag this onto the "make new item" button. This creates a multicam sequence based on the format of your media.
make new item button:
Multiclip and Sequence icons: 
I always rename my sequence with "SEQ" so I can quickly tell them apart.
You edit the multicam using the "Multi SEQ" in the timeline. You will only see one audio track and one video track
To color correct an entire camera angle (at any time in the editing process), you right-click on the multiclip to load it into the timeline. You will see a video track and audio track for every angle in the multiclip Just double click the one you want to to color correct in the timeline here to load it into the Source monitor. You can color correct it there.
Hope this helps