Mostly agree, but believe that Rhaegar raped her, and she died in childbirth with Jon the Bastard. Ned didn't tell Robert about him, and pretended he was his own, cos he thought Robert would kill the dragon spawn if he knew.
This will mean that Dany is Snow's aunt, and potentially she can rule the South, and he can rule the north.
Unless they all die.
Oh, and the Dragons will kill the White Walkers.