Not to go all xenophobic, but I'm guessing the women's game doesn't have an identity crisis in South Korea or Asia, generally.
In terms of the identity crisis here in the U.S., I think it has to do with a lack of a compelling personality, or personalities/rivalries. Golf on the men's side has always seen cycles of great personal stories, triumphs and rivalries, all the way back to Ouimet, and including Jones, Hagen, the Hogan-Nelson-Snead rivalry, Hogan himself, Palmer, Palmer-Nicklaus, Nicklaus-Trevino-Watson, the great wave of European talent, Norman, and up to Woods. I actually think the men's side may be suffering a bit lately, since Tiger's denouement (perhaps still pending).
The LPGA lacks that -- it had it w/ Nancy Lopez, and some others, but not lately. That many golf fans don't even know the name of the game's top player -- who is by historical measures maybe one of the best of all time -- speaks volumes. It could've been Wie, but she's been busy w/ school, I think.