Well, I did that: no starch in my diet since December. Three months with no bread, pasta, crackers, flour, thickeners (no corn starch, potato starch, tapioca starch, or the like), no potatoes or starchy veggies of any kind, and a drastic reduction in fruit intake (no fruit juice or dried fruit, maybe two pieces of whole fruit per week.) My total carb intake yesterday was 36 gm, for example, and almost all of that was from low-glycemic veggies. I am trying to keep it under 50 gm/day.
Despite injecting 66 IU total of Levemir every day (in two injections, twelve hours apart) and giving myself bolus/correction shots of Novolog, I still wake up every morning between 135 and 175. Regularly drop into the nineties by afternoon and if I go much higher on the Levemir I drop hypo in the wee hours while I sleep, e.g. 53-54 mg/dl.
Most importantly for my long-term well-being, restricting carbs REDUCES to about 10% the relentless craving for carbs that I normally have when I indulge.
Carb restriction is KEY to my diabetes management, along with regular, gentle exercise. To me there is no question that T2's should all give a good, solid try to carb restriction before they do something drastic like bariatric surgery.