(shove the healthcare part aside for a second) to a certain degree, all firms are 'socialist', because they are banding together to not compete with each other. This is the central interesting problem in the 'theory of the firm' which deals with how in a capitalist system groups of individuals band together to not compete. This definition, then is meaningless. Socialism is when a central authority organizes the distribution of labor and resources under the threat of force.

As for the healthcare, universal healthcare for soldiers is a horribly malfunctioning system in the US, and it is unlikely to change anytime soon.