Who's making value judgments here? I'm talking about what's easier or harder to destroy, and explaining what makes aristocracy so much more fragile than bureaucracy. But the idea that governments are "the biggest thug in the room" is in itself as flagrantly ideological in origin as deliberately propagandistic in the specific formulation you chose, so the answer to my question is not really in doubt. (You might also be equating bureaucracy and government, or assuming I am doing so. Neither would be sensible.)
The Saudi monarchy I would characterize as a nation-state existentially dependent for that status upon its role as a valued¹ satrap, and regional linchpin, of US hegemony; after decades of wielding money and power with all the arrogant foolishness of any parvenu's fantasy, they have few obvious friends and many reliable enemies. Following the loss for any reason of that client status and the protective halo it confers, I would expect the remaining lifetime of the monarchy, and whichever of its members failed to flee in time, to be most conveniently measured in days.
1) Some might say, vastly overvalued given their longstanding unreliability and increasing irrelevance in a post-petroleum energy economy.