  We explore the effects of spin-orbit coupling on nuclear wave packet motion
near an out-of-equilibrium molecular junction, where nonzero Berry curvature
emerges as the antisymmetric part of the electronic friction tensor. The
existence of nonzero Berry curvature mandates that different nuclear wave
packets (associated with different electronic spin states) experience different
nuclear Berry curvatures, i.e. different pseudo-magnetic fields. Furthermore,
for a generic, two-orbital two-lead model (representing the simplest molecular
junction), we report significant spin polarization of the {\em electronic}
current with decaying and oscillating signatures in the large voltage limit --
all as a result of {\em nuclear} motion. These results are consistent with
magnetic AFM chiral-induced spin selectivity experiments. Altogether, our
results highlight an essential role for Berry curvature in condensed phase
dynamics, where spin separation survives dissipation to electron-hole pair
creation and emerges as one manifestation of nuclear Berry curvature.
