Haha. No. Well in the U.S. at least, the domestic intelligence apparatus is so massively resourced with legions of federal hunt-and-peckers roaming around that they'll spy on local Moms for Peace groups. But mainly, they sit back and listen, gather intelligence, and then when they can, prod the n00bs into crossing the conspiracy-to-commit-crimes threshold which works remarkably well with right-wing groups.
If anything though, they have too much information for their own good because of the digital world that they're operating in now, too. So it's like, how do you synthesize all this information so you know what's true and what's bullshit? The local cops can be hapless here, case in point being when some boomer guy circulates a fake message on Facebook that 10,000 antifa are going to come burn down their local Waffle House out in the middle of nowhere. The local cops are morons and suck up the same disinfo and don't know anything. The feds are a lot smarter but even then they have to figure out what's what, and you know what the solution to that is? Human sources. We after all know what's true and what's bullshit (or, well, hopefully most of us do) but that's not always clear to those guys.