Can we set up an automated monitor on all the traffic cams and licence plate readers and facial recognition systems just to catch cops and politicians breaking laws or just to track their movements and associations the way they do to everyone else? Can we access the same cam footage that the state uses to accuse you of something, to clear you instead?

Only occasionally and incompletely.

For instance you might have access to whatever they submit as their proof, but they had access to the full footage and from many sources, and if you had that same access, maybe you'd find proof that you were elsewhere at the same time, or that the subject came from somewhere that isn't your house, or see them getting dressed just before going to commit the act, or was even the very cop bringing the charge, or show the greater context that when you drove through that red light, you had already waited 10 minutes and the light was actually broken, or the lights were out but the timer/switing mechanism was still ticking over so the cam just assumed the driver was shown a red light, etc.