Posting this to garner more attention for this bug. Myself and many others have been unable to complete this dungeon. On both Normal and Heroic, the end of the dungeon stalls with the Lich King endlessly choking out the character in RP. The ship shows up but nothing else happens.
People have posted “fixes” for it, but it seems to be a back end issue. As the verdict is very mixed as to who can and cant complete the dungeon based on community fixes and suggestions.