Now I don't mean any disrespect to LEOs here, but I would be nervous about just LEOs having reciprocity. A good many LEOs don't know d!@k about good and safe weapons handling. This year at the range I shoot at, there have been 4 seperate incidents of AD, all of them by LEOs. One was a round fired during a cease fire, when the rangemaster explicitly commands everyone to back away from the tables/benches, and to not apporach any weapon, and leave them all with actions open until the next session begins. As folks are walking downrange to check and change targets......BLAM!!! Stupid sheriff deputy standing there holding a smoking pistol. "It just went off by itself" he says. Thank God nobody was hit. The other three were deputies firing because they had finger on trigger while not ready to fire. Ended up with one hole through the roof, and the other two rounds nobody knows.
Not really a good track record in my book. Now don't take that as LEO bashing, but I really think they are not necessarily qualified to carry just because they have a badge.
edited to change "MOST LEOs" to "A good many LEOs", because I know it's not most, but just a good many.