Parallel construction is one huge disrespect for the law; it hides the real accusation and necessarily requires hiding evidence from the defendant. It is a blatant attempt to bypass the "fruit of the poisonous tree" doctrine and the 4th amendment. There are probably other legal problems too, depending on the specifics of the case.
I'm not really suggesting that an amendment is (or should be) necessary, because the surveillance that is going on (and being passed down[1] from the NSA to the FBI, DEA, and local departments). These activities should not be necessary at all for law enforcement, as the warrant system is easily sufficient to allow any necessary searches. Even if a specific device such as cell phone is inaccessible (despite having a valid warrant), that doesn't stop any policeman from conducting traditional (in person) surveillance or upstream wiretaps.
Yet police insist they need far broader access and we have numerous examples of the 4th Amendment warrant requirements being ignored[2]. IFF their claims have merit, the proper way to get exceptions to needing warrants would be an amendment, which has not been suggested. There could be some edge cases where "merely" a circuit court or SCOTUS ruling could "find" additional powers for police, but it doesn't matter - I don't see the the various TLAs trying to setup a test case on this matter, either. Instead we see many cases where law enforcement (and/or people in Obama's administration) have tried to prevent lawsuits from going forward.
[1] [pdf] https://s3.amazonaws.com/s3.documentcloud.org/documents/1011...
Some of the training slides and request forms. Especially interesting is how often they repeat the need to keep the practice secret, including having a 24-hour hotline local police can use to get advice on how to hide the source even if they have to immediately give testimony in court. I believe (and a friend of mine who is a lawyer agrees) that these repeated statements like "To use it, we must protect it, or lose it." easily counts as mens rea.
[2] Riley v. California being a notable exception, though I know at least two friends that had their phones searched (in their presence) just a couple weeks ago in Oakland, CA; some departments haven't gotten the message yet, unfortunately.