There's a chicken-egg problem here, which is that if nobody sorts their waste then there's no incentive to find better usages for it. I don't mind sorting my waste even if it still ends up in a landfill, just in case maybe the sorted waste supply will make it easier to find non-landfill usages for it.
Not that landfills are inherently bad - like the article implies, it's really the creation of the waste in the first place which is the problem.
It benefits me to have sorted waste anyway, since the non-recyclable garbage is more prone to attracting pests and a separate recycling stream helps to make the quantity of garbage more manageable. But what's even better for that is municipal organics/food waste collection.