From what I've read about the game, the storyline is every bit as crazy it appears from that video.
Apparently Drama CD Nei shows up as a boss battle or something.
What really gets me is that two versions of Myau are in that video. The white version from the box art jump's on Alis' shoulder, but the yellow version from the games appears with Nei, Mieu, and Rika. Somebody failed to do the research there!