They're getting linked on tumblr, its been someone different each week. I will post the link once ep 5 spoilers are out, they keep coming up on Mondays.
–- Update From New Post Merge ---
I know it's the point, but it's no less frustrating as an outsider looking in. Like that bomber, more people's red flags should've been raised when his Coefficient went down so extremely overnight and he was acting smug as shit about it, displaying contradictory behavior. For the amount of "brainpower" (pardon the pun) that Sibyl has, it can be extraordinarily dumb.
It's frustrating for us to watch, but aside from what Phoenix Zoan touched on, think back to the episodes in S1 with the helmet people. And how crimes were committed out in the open and people just looked at it like they couldn't even comprehend what was happening. And then the other people who just easily snapped into a violent rage and attacked back.
There isn't as much crime in this society because the natural order of things under Sibyl involves a lot of suppression of emotions and basic human nature. Everything revolves around keeping your hue clear, and people obsessively morph their lives around that. This is why they can't deal with stress because dangerous and stressful situations tip people into unhealthy state of minds, and it just snowballs in someone who grew up without ever having to even think about dealing with these things. And as this episode pointed out yet again, people are so afraid of their own mind they "treat" themselves into a vegetative state.
According to the official timeline, the aptitude test and psycho-pass had been around for a couple of generations prior to S1, and it was 20 years prior to S1 that crime-coefficients would become what was used to judge the good and bad of society as a whole. Some people are thinking that Sibyl had only been around for 20 years or so, and are confused why a lot of the older generation is not questioning it's authority, but it actually began earlier than that. So by this point it's deeply embedded into every living person, the expectations and what's valued in this society to the point that no one really questions it. Our common sense really has no understanding or place at this time.
So I understand WHY Division 3 acted as it did, it didn't make it right but as someone else pointed out, Akane is definitely NOT the typical thinking citizen in this time. Mika definitely is, which is why she's pretty rigid and uptight (but I think her playing by the rules bit also has to do with her own trauma, she told her friend to go confront Rikako directly and it got her killed. Now she doesn't want to take the responsibility for acting on her gut and someone getting hurt.. and instead that just got a lot of innocent people killed) and did not think to question the proper procedures. All of her, as well as the others involved here, major life decisions were always made for her, she was always told what to do, her "judgement" wasn't really called upon in any significant way up until now. Sibyl works because of the blind trust placed into it by the citizens, they accept it's always going to look out for their welfare and not lead them astray as long as they do what they're told.
I'm interested to see what happens now with Mika, this was a pretty blatant wake-up call the system is NOT out to protect the victims, and if you ever try to even protect yourself from harm, you've become the criminal. The true nature of Sibyl just gets sicker and sicker.