From reading what people have been saying it seems like the military steps in when the it feels the government over steps the will of the people (secular ideals of the country). However, since this has to happen from time to time, it isn't really taking an active role in persevering democracy per se and mostly leaving it up to ordinary people through political processes (until they step in).

From what has happend so far pertaining to this situation, it seems like that is true: https://twitter.com/rmncr/status/340525959784562688 (translation via google: "Information: Gumussuyu Military Hospital citizen soldiers dealing mask. Thanks! #direngeziparkı #occupygezi")

I wonder what it would be like in the US if National Guard medics were to show up and pass out aid to people during OWS and related protests…