We show that strongly correlated many body states of quantum magnetic models can be dynamically generated even under current experimental conditions [1] at low filling factors and at temperatures above quantum degeneracy. This opens the way to verify a recent theoretical prediction [2] that the molecules' rotational states can be used to directly emulate quantum spins with strong ($>1$kHz) spin-exchange interactions. We do this by considering the dynamics of fully polarized initial states which are easily realized in current experiments. Our analytic and DMRG calculations show that the dynamic experiments can quantitatively verify and characterize the spin model (XXZ) description of the system. As an outlook we propose how to experimentally generate interesting entangled states with polar molecules.