Kagami is anything
but normal.
As already discussed in the episode threads, Kagami is only "acting" normal, but her "wavelength" is actually more in tune with Konata than what society (Japanese in this case) would perceive to be "normal".
Part of the fun in the K&K dynamic is that Konata is aware of Kagami's inner "deviant".
Kagami's archetype is very varied at this point. To pin her to only one or two archetype(s), is to ignore her other character traits.
Cheers.