  We investigate the equation of state for a recently developed hybrid
quark-meson-nucleon model under neutron star conditions of $\beta-$equilibrium
and charge neutrality. The model has the characteristic feature that at
increasing baryon density chiral symmetry is restored in a first order
transition within the hadronic phase by lifting the mass splitting between
chiral partner states, before quark deconfinement takes place. Most important
for this study are the nucleon (neutron, proton) and $N(1535)$ states. We
present three sets for the two free parameters which result in compact star
mass-radius relations in accordance with modern constraints on the mass from
PSR~J0437-4715 and on the compactness from GW170817. We also consider the
threshold for the direct URCA process for which a new relationship is given and
suggest as an additional constraint on the parameter choice of the model that
this process shall become operative at best for stars with masses above the
range for binary radio pulsars, $M>1.4~M_\odot$.
