Unfortunately their house of cards is built on a foundation of wealth...and not just fuck you money, but literal centuries of fuck you money.
The fortune 50 I worked for could literally stop doing all business and maintain their current spend for a century and still be solvent.
This isn't unstable at all...it's built to last for 100s of years...the current leaders to their grandkids will be safe.
To further that...the 1% have private armies and well stocked bunkers to ride out any social uprising. That's the really scary stuff.
We are all fucked though. Enjoy the hunger games.