I don't know much about either approach (though I really should as BOTH of my DC have over the top tantrums). However, I did watch Primetime last night, and while I KNEW all about the methods they discussed, it was more "real" for me to actually see it rather than read it.

My biggest issue, which has been part of the problem since DS5.5 (the "difficult" child) was a baby, is following through and being consistent. Regardless of what method you use to raise your children, nothing will work without those two things.