A society is fundamentally broken if people need to get held a gun to their head, to make them do, what the society has commonly decided they should do. That simply doesn't scale. You might be able to do that for a few fallen individuals, but not for load bearing ones.
Every society - like any other sufficiently complex system - is operating in a constant state of brokenness.
Societies are dynamic, with components (organizational, human, technical) failing and being replaced continuously.
Broken in the sense of not sustainable, faulty in principle, might lead to further demise, or failure. Not as in there are issues, not everything is optimal.
