I'm not a Constitutional scholar, but I would bet SCOTUS rules this kind of warrant illegal. Google certainly has the resources to take the case that far. AFAIK a warrant usually is tied to a specific person or a specific crime. In other words, if an explosion killed Harry McHarryface, then it would be constitutional to ask for names of people who searched for Harry. Or if the fertilizer used in the bomb was shown to…
Look at it this way, if a car is involved in a drive-by shooting the police can't get a warrant to search every single home that has the same year/make/model of car registered to with that address. For a legal warrant you have to have probable cause that a specific person committed a crime. You can't just search everybody and see what sticks, that's blatantly unconstitutional.
We can probably figure out how to extract such data and cross reference it without making any of it available to random government employees.
Say you take pictures of license plates, store the data some place safe and allow a query of 5 recent armed robbery locations. If the result contains multiple cars matching 2 locations no results are returned. The moment a 6th robbery happens and a single car matches 3 out of 5 law enforcement can start looking for it immediately.
Sure, you'd get pretty mad if every time you get robbed the police searches your vehicle but they don't need to break anything and you will get over it.