The USA developed a huge fructose industry for exactly this reason. Of course, there has been a push back, and Americans are now using less of it - and I believe less sugar as well. There's only so much even obese Americans can eat.
Why not simply have a simple duty of 50% on imported cane sugar, instead of the complicated quota system that exists now?
Why 1 cent of duty? Unlike steel, aluminum and energy there is no national security implications to letting comparative advantage work.