My experience is that the officers you describe above are the exception and not the rule. I know a fair number of Sheriff's deputies and State Troopers. I took my CCW training from an individual who is retired Military (Marine) and retired IL State Trooper.
We discussed in great length during our CCW training how to interact with any law enforcement officer should we get pulled over (traffic violation) or be out in public and getting questioned while conceal/carrying.
In summary, we were instructed to never use the word GUN during these situations. Many beat officers are still young in their careers, and may over-react to the word. Instead, we were told to inform the officer that we were "licensed to carry, and were doing so." At that point we were instructed to ask the officer how he would like to handle the situation so that he would feel safe.
Now, I've had my share of getting pulled over for driving like an idiot in my younger days BUT since I treated each officer with courtesy and respect (never EVER treat an officer like they're stupid - best way to get taken in) I drove away without a ticket in all but one case.
If you use a little common sense, courtesy and respect while CCW'ing I'd be willing to bet that you'd walk away from any situation with an LEO with your weapon.
In fact, just as we citizens are getting training on how to conceal/carry correctly here in Illinois, the Illinois State Police are going around the state briefing local police departments on the new CCW law here in Illinois and how to have a successful interaction with those of us who conceal/carry.
I'm sure Illinois will have our share of idiot police officers who over-react, but everything I'm seeing and hearing is that there's a very large effort going on here to make sure LEO's don't over-react when they come across one of us conceal/carrying. I think the "bad cops" are the exceptions and not the rule, and how you interact with them (courtesy, respect, intelligence) makes all the difference.