Viv..
We have a subforum here on the board for those who are following Dr. Bernstein's Diabetes Solution, although I have to admit that it's not terribly active. There's also another subforum for Diabetes under the "General Health" forum that gets more posts and has a lot of good information.
I can't say whether you'll lose weight just as fast on Dr. Bernstein's plan as you did on Dr. Atkins, but it's likely that weight loss will be similar since the plans are so similar.
Dr. Bernstein's plan is very uncomplicated; you drop your carbs to 30 grams per day and that's where you stay. Besides the 30 grams of carb which should come mostly from veggies, you eat enough protein and fat to satisfy you but not leave you stuffed. It differs from Dr. Atkins' plan in that you are not allowed to have fruit, although I have found for myself through testing that small amounts of some melons and berries are okay for me. You'd have to test that one for yourself.
Just to give you an idea on how well you can eat, tonight we're having boneless sirloin pork chops baked with a little onion along with some celery and mushrooms and topped with a sauce made from heavy cream, mayonnaise, sour cream and cheese. Cover and bake for an hour or until meat is completely done. We're also having what my kids call "smushed cauliflower", but the recipe makes simple cauliflower taste very similar to twice-baked potatoes. We're also having mixed green salads with bleu cheese dressing. That whole meal will keep me at less than 12 grams of carb and isn't likely to raise my blood sugar more than 30 points.
If you do decide to follow Dr. Bernstein's plan, I'd really like to encourage you to get the book and give it a thorough read. You can also get a lot of information including several downloadable chapters from his book from his website:
www.diabetes-normalsugars.com