The right is reserved for, but not restricted to the individual. I don't think anyone here would dispute need for guns by our military or police agencies.
Only individuals have rights. Governments, which include the military and police divisions thereof, have powers. In some times and some places, police did not have the power to be armed with firearms. In Great Britain for instance, until they started disarming the people, the "Bobbies" rarely went armed, although supervisors could bring arms to a scene if necessary. I'd at least say that the police should have to power to have any arms denied to any law abiding citizen. Of course since "shall not be infringed" says that citizens have the right to have any kind of arms, that need not a be any great restriction.
Sometimes I cram too much thought into too few words, and vice versa. You and I have the right to bear our personal firearms. When all other efforts have failed, we the collective also have the right to restore this bill of rights. I don't think "police" have anything to do with the second ammendment. Just opinion.