The only time I have been stopped with my CC and a firearm ended up with a great story:
I was driving around at night in Lancaster, SC while a buddy from New Jersey and I were working late at night on a race vehicle. And when I say NJ, I don't mean rural Southern Jersey, but the gritty, grimy part of Jersey across the river from NY. We get stopped, and a REALLY young officer comes to the window and lets me know he is stopping me because I had a headlight out. My NJ buddy was freaking out, as he knew I was carrying, and he is conditioned to expect a certain type of interaction whenever cops and handguns are involved. I immediately let the officer know I was carrying and had a CC, even though I was not required to do so as SC had not passed the requirement to disclose law at that point. My friend was dumbfounded that I told him.
The officer doesn't even flinch, says nothing about the gun stuff, and goes back to his car with my ID, etc. A few minutes later, he comes back to the window, gives me an equipment violation warning notice, says "Sir, I would like to thank you for exercising your 2nd Amendment rights. America is a better place because of citizens like yourself," and sends us down the road.
After he drove off, my friend sat there in total silence for a bit, then looked at me and said "We truly do live in different countries, don't we?"