I've only had a few contacts with LEOs since I got my permit. All went surprisingly well. I told them I had a CHP and had concealed handgun(s) on my person (or in my vehicle), and that was that. They never asked to see my permit or my guns. It might be a different story if the LEO had reason to suspect you might be up to no good, but even then, if you remain respectful and polite, cooperate, and comply with the laws in this regard, I wouldn't think you'd get anything but the same in return.