  We elaborate on a new class of models proposed recently by us and compare
with another class proposed by Georgi and Glashow(GG). The models can be
roughly classified as the righted-handed (or left-handed) models in our (or
GG's) case. Both classes of models use softly broken CP symmetry to suppress
tree level KM phase as well as the strong CP phase. The measured value of the
CP-violating parameter $\epsilon$ are accounted for by employing a new heavy
sector of scalars and vectorial fermions. The models can be milliweak or
superweak in nature depending on the scale of the heavy sector. We review the
phenomenology of the right-handed models and compare with the left-handed
models.
