The 14 Herculis system is a solar-age, metal-rich. K dwarf home to two eccentric giant exoplanets in almost orthogonal orbits. By combining 20 years of radial velocity data with astrometric acceleration from Hipparcos and Gaia, we have tightly constrained the dynamical masses and orbital parameters of the planets, crucially disentangling mass from inclination. The mutual inclination between the planets strongly disfavors coplanarity, suggesting multiple planet-planet scattering events in the past. Our new N-body simulations further indicate that the planetary orbits are very likely undergoing Kozai-Lidov oscillations. This system is a flagship target for the upcoming Roman mission and is currently the best characterized system showing clear signs of dynamical disruption, making it our most promising target to explore formation and evolution signatures in the planets atmospheric chemistry.