They don't. See:
https://plus.google.com/112961607570158342254/posts/FWAVRVaN...
I agree that we need more information before jumping to conclusions, but the additional context you're providing doesn't give me much comfort.
But local cops acting dumb is a different story entirely than LOCAL COPS WATCHING OUR GOOGLE SEARCHES.
M-66 explosives that look like firecrackers.
I don't doubt that some law enforcement officers from some agency showed up at her doorstep for some reason. And I can accept that there were - at some point - questions about bombs for some reason or another.
But I suspect that her internet searches contributed to this appearance is (at best) hysteria or (at worst) convenient mistruths.