I've gotten to know the local police where I live, mainly from them stopping in at my girlfriend's work to grab a cup of coffee and chat. Most of them know I CCW and have no problem whatsoever. Of the two times I've been approached by an officer, once while open carrying inside my friend's apartment, I've handed him my Driver's License, Change Of Address Card, and License To Carry Firearms at the same time. On the second occasion (while in the friend's apartment), he made the comment, "Your gun is kinda scarin' me there." I replied, "It doesn't do anything just sitting there in its holster with the thumb-break on!" He replied, "Good point. Just make sure it's covered up when you leave so you don't scare anyone."
I figure by handing them the CCW permit, I'm letting them know that I'm a law-abiding citizen who may have a gun on his person. If they want to know, they can ask and I'll answer honestly. If they want to secure the weapon while interviewing me, they may do that too, if that makes them more comfortable in doing their job. I'm not going to scream about my 2nd Amendment rights being infringed because he wants to keep himself safe while doing his job.
So far, no LEO has asked to see and/or secure my weapon, as I keep a serious, professional, and polite demeanor when speaking with those in a position of legal authority. No harm, no foul.
-Snub