The ethanol mandate is not tied to corn. If sorghum was really cheaper to produce ethanol, there is not a reason to use corn instead.
Thus, you will see a lot of sorghum grown in places like Texas and Oklahoma and much less corn. Corn grown ethanol does, I believe, produce a mash byproduct efficient for feeding livestock more so than sorghum and this may be the difference.
Anyway, remove the subsidy from ethanol and see what happens.