I think one of the big pieces here is that we are talking conservatively about what, 15% of the population, max who have any real hate for the police. Also, I'd argue it would be only a few percent. The only difference is the publicity they are given at this given time. The 'we will show them' mentality towards the 100% because of the few doesn't make much sense. However I do understand the officer outrage when their backs are pinned against the wall like they currently are.
I think the only viable point I have heard someone make is that they wish officers turned in the bad apples in their department. Now, obviously it's not as simple as that and maybe those things already happen but the public looks at situations like Beavercreek where "supposedly" other officers believe him to be a major liability well before the shooting. coupled with the media always portraying officers as not ever losing their jobs just moved to desk duty and so forth doesn't sit well with the public, regardless of if that's true or not.