Asymmetric dark matter (ADM) can accumulate in neutron star interiors and affect their global properties, such as their masses and radii. Considering the effects of ADM accumulation, neutron stars and their mass-radius measurements can not only be used to deliver new insights into the cold dense matter equation of state (EoS), but also be used as a hunting round for dark matter. In this talk, I will share how we employ Bayesian parameter estimation using current and future neutron star mass-radius data to infer constraints on the combined baryonic matter and ADM EoS, where the ADM is modeled as either a boson or fermion and forms a core in the neutron star interior. For the remainder of the talk, I will discuss the results that we have inferred from this Bayesian approach.