A lot of people on this forum believe there will be an ultimate show down with Jon and Dany vs the Others or Dany vs Jon, Bran, COTF, and the Others.
Could the Other's just be a red herring to destract from the ultimate battle for the throne in the final book.
I believe that the Other's will be defeated by the end of The Winds of Winter and possibly even before Dany arrives to Westeros. I mean really they melt when hit by obsidian, couldn't Westeros just chip some obsidian off the daggers or current arrow heads and make just the tip of all their arrows with obsidian. I think they will be defeated slightly easier than most of us think.
I believe then that after the Others are defeated, Jon or Bran will learn to weild their power and use it to take back the North.
I am sorry I can't quote, but there is both a dream scene where Dany is battling and her enemies are armored in ice.
Jon also has a dream scene that he is armored in black ice holding a flaming sword.
I believe that Jon is AAR and will defeat the Others, but then harnesses their power hence his ice armor.
Ultimatley it will be Dany vs Jon. After R+L=J is revealed half the realm will rally to him and he will also have a lot of recognition by defeating hte OThers. Dany will be conquering. Many will bend the knee to her because of her dragons and foreign army. After learning of/ defeating the fake Aegon, she most certainly won't believe Jon is the real deal.
I believe the final book will play out like Aegon's landing..... foreign invaders conquering the realm with dragons, but this time the North WILL resist instead of bending the knee.
Sorry if there is spelling or Grammar mistakes--- no coffee yet