This is an area where Cutler and Haley disagree; however they both agree that glutathione is very important in the liver for detox.
Remember that for Cutler, redistribution of Hg to more vulnerable parts of the body is enemy #1. The danger of redistribution was made very powerfully by Haley at end of this long presentation on Hg, Alzheimers, Autism, etc. http://www.myspace.com/video/vid/7383821
Haley points out that there is a particular hormone receptor related to the body's stress response system (ACTH, FSH, cAMP, Adenylate cyclase, etc) that holds onto Hg about as well as anything can. I don't know how Hg ever gets pulled off of it.
Cutler does not want people to try to use glutathione (and Cysteine) as chelators, (esp with large infrequent doses that kick up Hg) but certainly recognizes that they have an important role to play in the body.
When we take things that have one SH group (mercury magnet) such as cysteine (precursor to glutathione), it will drag Hg around a bit but is likely to loose its grip on it. There is a danger of redistribution.
(beware of using ALA with Amalgam still present! It will likely move more Hg into your brain and give you headaches, and over the long term, anxiety, tremor, etc. cf double blind study by Gregus, et al)
Cutler seems to think that a good number of Hg toxic folks are low in sulfur (thiols) and a good number of them are high in sulfur. The later don't tolerate sulfur foods.
He seems to indicate that those who are low sulfur can take precursors such as glycine and glutamine, maybe NAC. I'm not low sulfur so I've not studied the details of his view.
Remember that Cutler has been working as a consultant for doctors on specific cases for over ten years plus he gets feedback on cases in the Yahoo chelation and austism groups--10,000+ members and 2500+ posts per month! Furthermore he went through Hg poisoning himself.
I've learned much from Haley, Cutler and others but no one is a medical God! After 15 yrs of brain fog, exhaustion, and strange bone density problems, I'm finally getting better after 1 yr of Cutler Protocol. I wish Haley all the best in getting his OSR approved. Millions of people will have their lives transformed if it gets approved; however until then, Cutler's method has been shown to be safe and effective.