The problem is we are only talking about a small fraction of the trash. >90% of waste is industrial waste, of that a third is just from Construction/Demolition.

Consumers can recycle everything, but it won't make more than a 10% impact. We need to start forcing industry to recycle and we can start with concrete. 8% of all global emissions are from concrete production, that's not even accounting the energy to haul it around. We have the ability today to use concrete to make down cycled products on site (road base, filler, non structural blocks, etc) eliminating transportation and other impacts. But few even consider it, companies and customers don't want to wait the extra day that it takes, and it's not always profitable either.