  We present a non-linear MSSM with non-standard Higgs sector and goldstino
field. Non-linear supersymmetry for the goldstino couplings is described by the
constrained chiral superfield and, as usual, the Standard Model sector is
encompassed in suitable chiral and vector supermultiplets. Two models are
presented. In the first model (non-linear MSSM$3 1/2$), the second Higgs is
replaced by a new supermultiplet of half-family with only a new generation of
leptons (or quarks). In the second model, for anomaly cancellation purposes,
the second Higgs is retained as a spectator superfield by imposing a discrete
symmetry. Both models do not have a $\mu$-problem as a $\mu$-term is forbidden
by the discrete symmetry in the case of a spectator second Higgs or not
existing at all in the case of a single Higgs. Moreover, the tree level
relation between the Higgs mass and the hidden sector SUSY breaking scale
$\sqrt{f}$ is derived. Finally, we point out a relative suppression by
$m_{soft}/\Lambda$ of the bottom and tau Yukawa couplings with respect to those
of the top quark.
