I'm happy to put my food waste in a little box and have the government come round with a truck once per week, at the very least its rotting somewhere miles away from me.
I don't think i have the space or knowledge to do it myself
No signing up here, you just put the correct boxes out on the correct day and some chap picks it up.
Its slightly frustrating having six different bins and having to keep a schedule pinned to the fridge but it kinda works.
See: How current landfills work
It's really not that hard to fill up the compost bin and then put it out with the trash and recycling every week. Municipal composting is great IMO.
We have made progress in that for recycling, but there are two trucks that come by my house.
Cardboard, at the very least, would generally be immediately ruined and rendered non-recylcable doing this.
I suspect you'd environmentally gain more from improved recovery of more useful materials from single-stream waste than you'd lose from no longer recycling cardboard products. (Especially since a large amount of dedicated cardboard recycling is itself going to be spoiled by the inclusion of greasy pizza boxes in that stream).
There are facilities that sort the entire stream, partly because diverting material away from the landfill saves cost there.