As it turned out the feline suffered from Cerebellar Hypoplasia (CH). It is a non progressive disease but does affects the motor skills. That explains how come the kitten wobbles when he tries to walk on his own.
The female soldier got so attached with the kitten that she even named her, Felix. She even decided to get the kitten with her back in the States. Meanwhile, since she was on duty and could not take care of a kitten there on her base, paid some money to transfer the kitten to a shelter located in Kabul. There they were supposed to take care of her until the female soldier could go and take her home.