Well, for once I can say, listen to your doctor!!
Programs like this, that are based on unrefined, unprocessed high fiber carbohydrates have been shown to dramatically lower triglycerides and cholesterol in a short period. Some people, depending on how sensitive them may be, may need some minor fine tuning in regard to their triglycerides, but in general, this program is highly effective.
The reason you often hear that low fat high carbohydrate diets will raise triglycerides is because in those situations they were consuming typical American Heart Association/American Dietitic Association low fat, hi carb, low fiber diets which include lots of refined and processed carbs, refined sugars and junk foods . In addition, in many of those studies, they required the subjects to maintain the same caloric intake so they are overeating.
On a program like this, where you eat "ad libitum" or until you are comfortably full (without a predefined caloric intake), caloric intake can drop up to 40%.
I would recommend limiting the amount of processed grains, even if they are whole grain and focus on intact whole grains and all the fresh fruits, vegetables, starchy vegetables, and legumes as described in the Maximum Weight Loss Program.
If you do that, and add in some regular activity, you will be amazed at how fast your numbers drop.
Jeff Novick, MS, RD