  The EW-$\nu_R$ model was constructed to provide a scenario in which
right-handed neutrinos are non-sterile and have masses proportional to the
electroweak scale, providing an opportunity to test the seesaw mechanism at the
LHC. What was hidden in the model until recently is the chiral symmetry which
helps solve the strong CP problem by using it to rotate $\theta_{QCD}$ to zero.
It turns out the contribution from the electroweak sector to the effective
$\bar{\theta}$ is proportional to the light neutrino masses and is naturally
small, satisfying the constraint coming from the present absence of the neutron
electric dipole moment, and without the need for an axion.
  Talk presented at the APS Division of Particles and Fields Meeting (DPF
2017), July 31-August 4, 2017, Fermilab. C170731
