At the end of Dance, House Stark as a political entity is non-existent. Yes, there may be a northern conspiracy to place Rickon in power but this doesn't restore the Starks. Rickon is a child and would essentially be a pawn or puppet for whichever northern house controls him. Essentially what I'm saying is that any "northern conspiracy" would be a conflict and struggle for power between houses Bolton and Manderly (broadly speaking). House Stark, with its remaining heirs all children, and with their seat in ruins, is not a political power in any way.
I think House Stark returns to prominence if Jon, and only Jon, accepts a kingship, either by Robb's will over the north, or preferably via Rhaegar to the whole of the kingdoms.
First, I don't see Jon being king in the north with bran and rickon alive. Robb wrote that will thinking that the lads were dead, and Jon wouldn't take his sibling's birthright. I mean sure it would be cool if Jon is king in the north, but what happens when rick grows up? I just see that whole scenario to be quite messy.
However, if Jon crowns himself as Jon Targaryen, king of the seven kingdoms, we have a whole different ball game. We now have a Targaryen in the north, raised by Eddard Stark, with Lyanna Stark as his mother. The wildlings would follow Jon, and Manderly and Co. would follow suit. Now, we start to see the Starks as a political entity restart to gain traction:
We have a king who's half Stark. Those loyal to the memory of Ned and Robb would have someone to flock to. But not a child, rather someone with legitimate battle experience, a lord commander of the night's watch, and most of all a Stark. Rickon is declared warden of the north or lord of winterfell or whatever, but regardless, he will be in better shape as a young lord under the protection of his big bro, a Stark, then another northern house.
I think only under this scenario does house Stark begin to emerge as a legitimate force.
***This also fits into my broader theory that the dance of dragons 2.0 is not between aegon and dany, but between Jon and Aegon with a north/south divide. Sansa arranges for the vale to join with the trident and the north to support Jon, while the south backs Aegon.
Edited by AegonTargaryen, 20 June 2013 - 12:35 AM.