I think he’s aiming a bit higher. Tie the North to the Vale to the Riverlands, take the Iron Throne in the name of King Harry Arryn, become Hand of the King, cuckold Harry Arryn and get Sansa with his child, kill King Harry, rule as Lord Protector of Westeros in the name of his secret son.
EDIT:
Whoops. Just saw “show” in there. Yeah, probably.