Maybe not. I'd like to think it would but perhaps it is too baked in. That's why I think it needs to be catastrophic AND irreversible. Something you can't come back from. Maybe something akin to the Dustbowl in the 30s.
Language is such a problem. People of a certain type hear "climate change" or "environmentalism" and they associated it with people they don't like. They will like many elements of sustainability but would never call themselves "environmentalist."