The vast majority of 21st century AI workloads are based on gradient-based deterministic algorithms such as backpropagation. One of the key reasons for the dominance of deterministic ML algorithms is the emergence of powerful hardware accelerators (GPU and TPU) that have enabled the wide-scale adoption and implementation of these algorithms. Meanwhile, discrete and probabilistic Monte Carlo algorithms have long been recognized as one of the most successful algorithms in all of computing with a wide range of applications. Specifically, Markov Chain Monte Carlo (MCMC) algorithm families have emerged as the most widely used and effective method for discrete combinatorial optimization and probabilistic sampling problems. We adopt a hardware-centric perspective on probabilistic computing, outlining the challenges and potential future directions to advance this field. We identify two critical research areas: 3D integration using MOSAICs (Monolithic/Stacked/Assembled ICs) and the concept of Illusion, a hardware-agnostic distributed computing framework designed to scale probabilistic accelerators.