They're people who have been trained to be afraid of normal citizens and feel an obligation to protect those who understand their stresses and burdens from those who don't.
You want sympathy from a cop? You want to get the good cops to push out the bad ones? Show them that you understand what they go through. Show them that you're not exceptional in that respect. Show them that they have nothing to fear from you and yours. Show them that you'll back them up if they do the right thing.
It's like hackers. They're all spoiled white neckbeards living in their parents' basements slobbily eating pizza, right? Just like all the cops are donut-munching bullies cruising around in their cars banging on doors because it's funny, right?