To fire a federal judge. Local judges, which are the vast majority, can be fired by their colleagues or replaced in elections.

To be fair, that's a problem with human authors too. Wikipedia is really well-cited, but it's common to check a citation and find it only says half of what a sentence does, while the rest seemingly has no basis in fact. Judges are supposed to actually read the citations to not only confirm the case exists and says what's being claimed, but often to also compare & contrast the situations to ensure that principle is applicable to the case at hand.

It depends on how. The Fourth Amendment prohibits warrantless searches, not any information itself. The police can always just have an officer tail you 24/7, and it's perfectly legal. Placing a GPS tracker on your car physically invades your property and therefore counts as a search though. Generally any public photography is not a search, so they're free to record and keep records however they legally can.

Though at some point, even SCOTUS just does whatever feels right, regardless of what the law says. In Carpenter, SCOTUS ruled 5-4 that your cellular company voluntarily handing over historical cell data also counts as a government search. An appellate court has held that if photography is extensive enough, it becomes a search. SCOTUS has held before that uncommon photographic equipment can constitute a search. That logic honestly doesn't really make sense, but it is what it is now. I wouldn't be surprised that the courts rule against it, but that's not what the law really says.

It rewards blatant corruption? What's the benefit is the bigger question.

If immigrants were loyal to their country, they wouldn't do this. The problem is immigrants who don't make it their country.