A convertible force latching system includes two complementary connector bodies. Each connector body has a first mating face under which two series of magnets oriented alternating directions. A moving portion of the latching system allows the connector bodies and the magnets within to alter their alignment by the interaction of a user along a predetermined motion path. In a first arrangement, the series of magnets are aligned with such that the magnets of one connector body are attracted to the magnets of the other connector body. When the user actuation shifts the moving portion, the second arrangement positions the series of magnets such that they are aligned such that the magnets of one connector body are repelled to the magnets of the other connector body.