The simplest way to bring down costs is to ration care, that's how it's done in socialized systems. We don't ration care in our socialized systems here in the states. I don't see rationing in the newly proposed public option either - it provides all you can eat care.
Provider payments reforms in medicare and medicaid might have an effect, but I'm not sure what kind. If you're a doctor caring for a medicare patient, how will a drop in reimbursement rates on procedures effect your decision making? I can't answer that I'm not a doctor, but my guess is you'll charge your private customers more to cover the loss. (I'm not a fan of mixed government/private systems specifically because they result in really bad cost shifting.)
The IMAC (Independent Medicare Advisory Council) idea was good - an idea brought forward by Clinton that Obama adopted support for. Unfortunately it's not in either of the current congressional bills AFAICT.
Generally speaking, studying what we do right and what we do wrong is a good idea. But it seems congress decided to throw that out the window and simply roll together massive spending bills. So much for reform, eh?