The story is one of the main points to this game and with the expansion, I would say XIV has a story as compelling as the other main line Final Fantasy's. Story has always been a major selling point for Final Fantasy games and I feel it always will. If you don't like story, you're playing the wrong kind of game. There are dozens of MMOs that are recent enough to be playable that give 0 care to the story but XIV is not one of them.

Also the quest can take a long time but you said you're skipping the cutscenes and all that, so honestly speaking it will take you 1 more week or less to catch up to the expansion. If you really hate the story, then just do the quests to get good levels so you don't need to grind later on since they give nice EXP.

And no, you're not like many players. Every single player I know that plays the game enjoys the story. I know I don't know the whole community but I can safely say that it seems clear that the vast majority of XIV players aren't skippers like you.