Here's a thought... people with the attitude of the poster you were replying to should have some kind of "DNR" designation on their public record, maybe attached to their phone numbers. ("DNR" in this case meaning "Do Not Respond", as opposed to Do Not Resuscitate). Since they don't want the services of LEO, if they ever do call 911 for any reason, they can be ignored, thus freeing up the 911 lines for people that actually DO appreciate the services that LEO provide.
Caller: "Someone just broke into my house and they're still here!"
911 dispatch: "I'm sorry sir (or ma'am), but you are on our Do Not Respond list. Have a nice evening."
That would just prove their point.
People who don't like the cops, for whatever reason, should be treated with the utmost professionalism when cops respond to their call.
That's how you make them change their mind.
You don't like cops? Well guess what they are still willing to risk their lives responding to a call at your house in the middle of the night.