  The anticipated experimental resolution and data cache of the High Luminosity
Large Hadron Collider will enable precision investigations of polarization in
multiboson processes. This includes, for the first time, vector boson
scattering. To facilitate such studies, we report the automation of polarized
matrix element computations in the publicly available Monte Carlo tool suite,
MadGraph5_aMC@NLO. This enables scattering and decay simulations involving
helicity-polarized asymptotic or intermediate states, preserving both
spin-correlation and off-shell effects. As demonstrations of the method, we
investigate the leading order production and decay of polarized weak gauge
bosons in the process $pp \to j j W^+_\lambda W^-_{\lambda'}$, with helicity
eigenstates $(\lambda,\lambda')$ defined in various reference frames. We
consider the Standard Model at both $\mathcal{O}(\alpha^4)$ and
$\mathcal{O}(\alpha^2 \alpha_s^2)$ as well as a benchmark composite Higgs
scenario. We report good agreement with polarization studies based on the
On-Shell Projection (OSP) technique. Future capabilities are discussed.
