  Quark models with four-fermion interaction including derivatives of fields
are exploited as prototypes for composite-Higgs extensions of the Standard
Model. In the non-trivial case of two- and four-derivative insertions the
dynamical breaking of chiral symmetry occurs in two channels, giving rise to
two composite Higgs doublets. For special configuration of four-fermion
coupling constants the dynamical CP-violation in the Higgs sector appears as a
result of complexity of two v.e.v. for Higgs doublets. In this scenario the
second Higgs doublet is regarded as a radial excitation of the first one.
