An optical fiber switch which may include first and second angled optical fibers having respective first and second end faces. Each of the first and second angled optical fibers may include a core having a core index of refraction, and a cladding surrounding the core and having a cladding index of refraction less than the core index of refraction. The optical fiber switch may further include a first index matching elastomeric solid layer having a proximal face coupled to the first end face, and a distal face opposite the proximal face to be repeatably optically coupled to the second end face. The first index matching elastomeric solid layer may have an index of refraction matching at least the index of refraction of the core. The optical fiber switch may also include at least one actuator for relatively moving the first and second angled optical fibers between a coupled position and an uncoupled position.