Ok, the US forces in Vietnam won every battle and yet we lost the war. The reason is because the enemy had no where to go. Put simply,
If (Cost of Defeat) < (Cost of Victory - Spoils of Victory)
Then you will lose a war of attrition.
The reason is the politicians in the US never let the Army fight to win. You cannot win a purely defensive war. North Vietnam would have collapsed with the capture of Hanoi and the death, capture or exile of Ho Chi Minh.
Actually, the situation would probably be a lot like Iraq is today. Most areas of the country would be relative safe with a few exceptionally dangerous hot spots. There would have probably been a lot of villages destroyed in order to save them.