I am not a lawyer. I would imagine you could be charged with 'obstruction of justice' or some other such law if you did this in the US or as a US citizen. Something to think about before doing such a thing.
This is the federal obstruction of justice statute, could you point out the part that applies to jamming the illegal collection of inadmissible evidence by an agency that enforces no laws or regulations and conducts no criminal or administrative investigations or proceedings?
This is an unintentionally perfect demonstration of the concept of chilling effects. Someone should take a screenshot of this and put it into a textbook.
The fear of getting caught shouldn't be the only reason you don't do something. Either it's important enough to do, or there's multiple reasons doing something isn't a good idea.
edited to be more verbose