Where are you looking for success stories?
http://www.dietdoctor.com/diabetes Dr Wortman had a few extra pounds, but probably not considered overweight. Same with Dr. Tim Noakes.
https://www.youtube.com/watch?v=fL5-9ZxamXc
It is estimated 20% of diabetics are "normal weight", so the success stories are out there, but that won't prove what will happen to YOU on a LCHF diet. Best to try a 20g total carb per day diet for a month, keep a complete record your fasting and PP BG each day, after a range of foods, and see if your BG drops to normal range.

http://forum.lowcarber.org/showthread.php?t=472842

http://thediabetessummit.com