What isn't up for debate, is the LAPD is not trying to bring Dorner in. They are quite obviously shooting to kill, and given that they've opened fire on civilians for just the suspicion of being Dorner, it's pretty obvious. You can believe that maybe there's truth behind his claims and the LAPD wants to shut him down, or simply want revenge for his actions; Either way, if they find him. he's a dead man.
The LAPD's eagerness to eliminate Dorner makes me suspicious myself. It's one thing to protect people, it's another to try and gun down anyone who might possibly be the suspect with little warning.