Could I be brutally frank here?
A) BHO could care less what Gen. McChrystal thinks.
B) BHO could care less what other military leaders including Gen. Petraeus and Adm. Mullen think.
C) BHO could care less what allies like the Czech Republic, Poland, Israel, France and the UK think.
D) BHO could care less about our troops, re-enforcing them or properly supplying them.
E) BHO could care less what Iran, Venezuela, or North Korea do. He has no intention of thwarting their military ambitions.
He is now off to Copenhagen trying to bring back the goodies to Chicago—now there is a big priority for him.
I think you are wanting to say couldn't care less. If he could care less that means he has some care which we all know doesn't exist.