For what it's worth, one of the most interesting aspects of Sword Art Online to me wasn't so much its fighting or scale or plot (definitely not the plot), but the idea of what folks do when they're trapped in a virtual world. In this case, many characters opted to make a life out of it. In that way the show feels like it's fulfilling the original promise of MMORPGs - that they'd provide a whole other world to be immersed in.
Anyway, while it doesn't look like Sword Art Online: Infinity Moment for the PSP won't exactly provide that same promise in actual game form, it is at least sticking some key bits of that context into the mix, namely a daily life aspect, complete with the dating of ladies who may or may not be dudes in real life (not that it matters, since you're all stuck in the game anyway).
The game's third trailer above throws in a whole mess of gameplay information in order to get folks all hyped up for its release. I for one do hope it crosses the pond in some form. It'll be good to get yet more games I can play on my Vita (even if it's technically a PSP title).