If you're in that much of a rush to get to cap, they sell skip potions and leveling potions to accomplish that. You can even go back and replay the story you missed on your max-level character if you later decide you regret not having any clue why you're running the new expert dungeon or who all these people in your party are.

One of the main draws of FFXIV is that it's strongly story-driven, unlike most other MMOs out there, and diluting that further would both be a disservice to the game's story itself and a waste of resources that could be better spent elsewhere.