My overall experience with LEOs have actually been quite pleasant. With the exception of a few times when I was younger (early twenties) I would recall what an asshat I thought the cop was, when realistically he simply wasn't taking any crap from a young punk. Now into my late Thirties my perceptions have changed for the better.
I've been pulled over for various reasons. Accelerating too fast, not signaling a lane change or turn, loud pipes, and a couple times for speeding. I've only received 1 ticket (and that was because like a schmuck I didn't have proof of insurance in my possession) since those immature days in my twenties, when by right I could have received more. In all those cases I was let off with a warning simply because I paid respect. I wouldn't play stupid with the cop, however I wouldn't admit to anything either (well a couple times I gave them the "Okay, you got me" look because it was obvious I was breaking the law).
Generally though, I find police give me a lot of leeway. I've had cops give me the Hey buddy, keep it down hand gesture as I roll by on an empty street. I've accelerated rapidly out of ugly looking situations on the road and the police give me a nod, recognizing I was getting out of a jam rather than acting the fool. I've even had the occasional motorcycle cop holding a radar gun to me, and give me the two wheeler wave as I ride past about 7-8mph over the posted limit (no traffic, full gear... cuz I did get pulled over under similar circumstances when there was other traffic).
And who's the schmuck who recommends fighting every ticket and get a good lawyer? I DO have a very good lawyer, however when you face a $75 fine vs $500per/hr fee to an attorney, how do you get lost in the math?