No, it is not militant. No, it is not strictly political. Do genderqueers have a tendency towards activism rather than apathy? Yes, in my experience.
I identify as genderqueer mostly because it is a widly used term, and very much an umbrella term. To me, anyone who operates outside the binary would be genderqueer, which is more or less all transgenders excluding those who consider themselves within a binary (many transsexuals, for example).
It is also, for me, a relative synonym of androgyne. I used to use that term with other people, till I learned that genderqueer was more widely used and therefore easier to connect to people with. Privatly, I talk about being androgyne, or something similar to that identification, while publicly I use the term genderqueer because of its wider acceptance. In other ways, the term androgyne doesn't quite fit, since I often see myself as a mixing of male and female gender archetypes, along with something other, which I can't really describe and may be alot of different things. In that case, its just easier to use an umbrella term. Genderqueer, in my experience, works just fine.