That would be an interesting idea, but I'm not sure if it's something that could really go over very well. The classes (Or Subclasses, whatever you want to call them) might clash too much, I would think.
Lemme put it this way (Once again, don't get me wrong, the idea of a Jugg Supp could be very interesting).
Supports = Keeping team-mates alive and finding/exploiting openings for potential plays with their 50/50 or sometimes 60/40 setup. (What I mean is 50% Attack Capability, and 50% CC/Heals or Peel or 60% Peel/CC and 40% Attack capability. That's just a guesstimation, the actual numbers vary from Champ to Champ.)
Juggernauts = I may be slow, I may be Kiteable, but if I get you in range, you's gonna be hurting! (Basically, they're an All-In sort of style, with their roughly 80% Attack Capability and 20% CC/Peel. Once again, only guesstimations here, actual numbers probably vary.)
Once again, that's just MY take on it, and I know fully well that I asked in the OP what kind of New Juggs my fellow players would like to see and all you were doing was answering. I just feel that in THIS particular case, the idea of Jugg/Support doesn't really work because the ideals behind the two classes clash too much.