We rigorously show the mean-field limit for a large class of swarming individual based models
with local sharp sensitivity regions. For instance, these models include nonlocal repulsive-attractive
forces locally averaged over sharp vision cones and Cucker-Smale interactions with discontinuous communication
weights. We construct global-in-time defined notion of solutions through a differential inclusion
system corresponding to the particle descriptions. We estimate the error between the solutions to the
differential inclusion system and weak solutions to the expected limiting kinetic equation by employing
tools from optimal transport theory. Quantitative bounds on the expansion of the 1-Wasserstein distance
along flows based on a weak-strong stability estimate are obtained. We also provide different examples
of realistic sensitivity sets satisfying the assumptions of our main results.