New experiments designed to discover a weakly interacting dark matter (DM) particle via spin dependent scattering can distinguish models of electroweak symmetry breaking. The plane of spin dependent versus spin-independent DM scattering cross sections is a powerful model diagnostic. We detail representative predictions of the minimal supergravity (mSUGRA) singlet extended standard model and minimal supersymmetric standard model, a new Dirac neutrino, littlest Higgs with $T$-parity (LHT), and minimal universal extra dimensions (mUED) models. Of these models, the nearly minimal supersymmetric standard model (nMSSM) has the largest spin dependent (SD) cross section. It has a very light neutralino which would give lower energy nuclear recoils. The focus point region of mSUGRA, mUED, and the right-handed neutrino also predict a very large SD cross section and predict a large signal of high energy neutrinos in the IceCube experiment from annihilations of dark matter in the Sun. We also describe a model-independent treatment of the scattering of DM particles of different intrinsic spins.