If that were the case, wouldn't the first step be to confine their movement? Teach them to care for their own, and supply the knowledge, medications, food, supplies etc so they can help each other in that zone. It cannot be stopped if it isn't contained.
Allowing people who seem to be healthy to leave that area and using our soldiers to do the care makes no sense. How is it going to be easier to fight a global disease than a disease that's mostly still confined to western Africa?