I have run both and the Alfine is quieter both in operation and in freewheel. The Alfine looses out in most other areas though. The quality of gear change, the gear range and the expected life service. If you are going down the hub gear avenue and you are looking at a bike that is going to get serious use (and abuse) there is no comparison - it would have to be the Rohloff. If you are looking at a low maintenance all weather commuter the alfine (in either guise) would be more than up to the job.
Andy