A large number of studies have verified the satisfactory seismic performance of unbonded fiber-reinforced elastomeric isolators (UFREIs). Typically, the total height of a UFREI will be shorter than its conventional elastomeric isolator counterpart. The shorter height results in a relatively larger isolator initial horizontal stiffness. The relatively large initial stiffness and damping values of UFREIs might be potentially sufficient in many cases to meet the wind serviceability requirements. However, in real practice, this must be examined for any UFREI system. The purpose of this study is to examine the dynamic wind response of a real UFREI system that its satisfactory seismic response was previously verified through shake table tests. The stochastic wind excitations were simulated in the time domain based on the code-specified basic wind velocity, gust factor, and exposure category using the Cholesky decomposition technique. The root-mean-square (RMS) acceleration response of the UFREI system was calculated and then compared with the threshold of human comfort. The cases where the UFREI system could satisfy the wind serviceability requirements were determined. For the cases where the performance was found unsatisfactory, the wind response of the UFREI system was mitigated with the aid of a set of brittle fuses that serve as supplemental springs to increase the initial stiffness of the base isolation system. A simplified procedure is developed for the design of brittle fuses.