"However, our military strategy was incapable of stopping supplies and men from flowing south."
That's pure bullsh*t. It was a political war where Johnson would not allow the military to win it. And it could have been done very quickly by bombing Haiphong harbor, the Red River dykes, and the railways by cutting off they're supplies from Russia.
No, the military brass told Johnson and then Nixon that they could interdict the flow of men and supplies into South Viet Nam with airpower and that was simply not possible.
Sure you could always widen the war, but that wasn't what the brass hats were pushing.