No. The only way to hope to (re-?)establish order and honor in the police is to hold them to the very laws they are expected to enforce. If there are no consequences when they disobey the laws, then they will continue to become more arbitrary, dishonorable, an untrustworthy.
For that matter, they should be held to a higher standard. A police officer should be held more stringently to obedience to the law than a normal citizen, and the punishment should be harsher (though not by too much) when they break the laws.
That they are not is quite clear, so their powers should be reduced, because they have been repeatedly shown to not be trusted with the ones that they have. For this reason I am in favor of requiring a camera that they cannot disable to be upon them at all times, and that malfunction of the camera should mean that they are not paid for that period AND that an independent investigation of the case is launched. It should record sound as well as video, and should be immediatedly transmitted to a secure read-only cache. Also, they should be on leave without pay from the instant the camera is disabled until it is repaired.
This is clearly an onerous requirement, and if the police had been shown to be at all trustworthy I wouldn't consider anything this strict. They have, however, shown that they cannot be so trusted.
Also, any action that they take while the camera is known to be non-operational and they are in uniform should be considered taken "under the cloak of authority", i.e., if they commit a crime, there is an additional penalty because they are fraudulently claiming to represent the law. Because of this the camera should be equipped with a soft beep that plays intermittently while it is operational, and a louder chirp that plays intermittently (once every 2 sec.?) while it is non-functional. Perhaps the chirp could encode the camera id, so that others recording in the area would have information as to which one.