Spidey has never really broken any big time laws other than leaving the scene of a crime when the cops are yelling "Stop!", escaping the police when they wanted to question him for the murder Captain Stacy, and the occasional break-ins, etc...
Spidey has some respect for the law and for what is right. Why the hell do you think he's a "good" guy? And I will admit, that he does indeed break minor laws when it's the responsible thing to do at that time.
As far as the cops hating him... maybe. Police generally don't like vigilantes, but he has had friends on the force many times, going as far back as Jean DeWolffe, and this was at a time when he WAS wanted for questioning of the murder of Capt. Stacy. And if you ever read ASM #186, Spider-Man has never been charged nor has there ever been ANY warrants by the police for murders... not even Captain Stacy. They just wanted to question him.
Read the damn stories... Peter's being pressured by an old ally and friend that it's the right thing to do... his Aunt May, the ONE person whom he has done soooooooooooo much for during his entire crime-fighting career, gives him her blessing. Try to think of the amount of STRESS that was relieved off Peter's shoulders when she did that. All that he has endured his entire life in order to avoid his Aunt May having a heart attack if she ever found out he was that "terrible Spider-Man"... All the guilt of having to lie to her to protect her... Everything... and for one brief moment, she gives him HER blessing that what he's about to do is the right thing to do. Despite his apprehensions on the whole thing, this one little moment of euphoric magic clearly goes to his head, and he does it. He reveals himself. The way it was presented is so much in the character of Peter Parker (at least it is to me), that I have no clue how others are reading it. But he did it. I can clearly see how he was pressured to do it... and now, after everything has settled, he starts to think with a clearer head, and starts to doubt his decision.
Like it was mentioned in the last issue, everything that he has ever wanted is finally his... yet it feels wrong.
It's my opinion that the characterization is spot-on, and for those that can't see it, that's too bad.
And having said that, that's merely my two cents.
Cheers...