The only way I would see it being feasible to forbid government from using drones just because they're cheap, is to forbid it for everyone.
That might not be a bad idea (it's what we did for phone wiretapping), but then we still end up in a situation where the government has more power, as they would then exclusively control the use of public airspace for drones. Cops aren't the only ones who could make productive use of drones (nor is the government in general), so I'm not sure we'd want to make that tradeoff, at least unconditionally.
In my opinion the only thing to be concerned about is Ginsberg being replaced by Thomas/Scalia. If that happens, the way the Supreme Court will come down on this issue is not so clear. It's definitely something to worry about. According to a certain block in Congress, winning two presidential elections still doesn't entitle you to make appointments.