  We study confining gauge theories with fermions vectorial under the SM that
produce a Higgs doublet as a Nambu-Goldstone boson. The vacuum misalignment
required to break the electro-weak symmetry is induced by an elementary Higgs
doublet with Yukawa couplings to the new fermions. The physical Higgs is a
linear combination of elementary and composite Higgses while the SM fermions
remain elementary. The full theory is renormalizable and the SM Yukawa
couplings are generated from the ones of the elementary Higgs allowing to
eliminate all flavour problems but with interesting effects for Electric Dipole
Moments of SM particles. We also discuss how ideas on the relaxation of the
electro-weak scale could be realised within this framework.
