This paper presents a stochastic computing implementation of a Bayesian sensorimotor system that performs obstacle avoidance for an autonomous robot. In a previous work we have shown that we are able to automatically design a probabilistic machine which computes inferences on a Bayesian model using stochastic arithmetic. We start from a high level Bayesian model description, then our compiler generates an electronic circuit, corresponding to the probabilistic inference, operating on stochastic bit streams. Our goal in this paper is to show that our compilation toolchain and simulation device work on a classic robotic application, sensor fusion for obstacle avoidance. The novelty is in the way the computations are implemented, opening the way for future low power autonomous robots using such circuits to perform Bayesian Inference.