I think you have misunderstood the idea of Supersymmetry a little bit. The idea of a particle's "spin" is not a measure of how "fast" or "much" it spins, but rather is a quantum mechanical property of an particle which dictates the number of ways a particle can rotate about its axis. Each spin mode dictates a different Angular momentum and energy state, which are important concepts in QM. Particles with half-integer spin numbers (typically 1/2) are called "fermions" and include electrons, muons, protons, neutrons, neutrinos, etc. Particles with integer spin numbers (often 1) are called "bosons" and are force carrier such as the photon, gluon, W-, W+ and Z bosons. Two other bosons called the graviton and Higgs Boson are theorized but haven't been found. The theory of super-symmetry states that for ever fermion, there is an identical particle of opposite spin.
So, for example, the neutrino is a fermion, of spin number 1/2, Supersymmetry theorizes there is a particle of the exact same mass and charge, but instead of being a fermion of half integer spin, it is now a boson, of integer spin 1. This is called the "neutralino". Every fermion is supposed to have a similarly opposite-spin boson and vice-versa for the bosons. This neutralino would make a excellent candidate for Dark Matter, but alas, not supersymmetric particle have ever been found.
Different spin numbers effect many things, most basically, how a particle spins about its axis, but also dictates the sort of statistics we must use in order to do physics on large amounts of these particles, how particles interact with different energy states, etc. (example, an electron cannot share the same energy state with any other electron, which is seen in electron shells in atoms. However, photons, which are boson actually like to share energy states with other photons, and we can cram many of them into identical energy states, such as a Bose-Einstein condensate.