In what context are you approached by police officers? Has someone seen your pistol and called 9-1-1? Do you get stopped frequently, where the officers, in checking for warrants and license status, discovers your concealed carry status? Do you put gun related stickers all over your car / truck? Although I'm a retired officer, I very often travel to different cities, counties and states, where the local police have no idea who I am. I'm privileged to be certified for interstate carry under LEOSA and have NEVER been approached by a police officer asking me for ID.
My gut tells me you are doing something that draws unwanted attention, such as open carry. Sure you may have a right to open carry in your state, but in doing so you will draw attention to yourself. With every right, there are also responsibilities. Police officers put their lives on the line trying to protect society, and it's impossible to tell the good guys from the bad guys by just looking at them. Sometimes officers need to check further in order to fulfill their sworn duty. Keep it concealed and you will not likely be asked for ID. If you are trying to make a political point or comment by open carrying, it's working! But perhaps not in the way you intend.
A line from Jurassic Park, regarding tampering with DNA molecules; "Just because you CAN, doesn't mean you SHOULD."