The virtues espoused by dwarf fortress, by my eye, are the following: production and ambition.
A dwarf that doesn't produce is not held to be valuable. Excluding the rare examples of the ones we reward simply because they challenge the idea of needing to be valuable (like the Philosopher), useless dwarfs are redirected towards tasks that produce something for the fortress. That task might be the "production" of safety through weapons training. Consider the crimes in dwarf fortress. A dwarf can be punished for one of several reasons. These are the destruction of some element of the fortress, attacking someone of the fortress, or by failing to produce. Destroying some element of the fortress is negative production and is unacceptable by dwarf standards. Attacking someone is punishable because it both destroys potential productive capacity and it takes time away from productive capacity to do this (to differentiate this concept from simply sending people to their deaths). Finally, failing to produce causes a generic punishment for the fortress. Blame for a failure of this kind is laid upon the fortress as a whole, lending a strong communal sense to the fortress.
The second virtue of a dwarf is ambition. Dwarfs always produce the best quality items they can. When a dwarf is seized by a vision of a glorious production, they will break their minds trying to accomplish that vision. Many dwarfs that do manage to fulfill their visions are rewarded with legendary status, which is frequently accorded additional benefits (which removal from the economy is supposed to allow). Ambition is the drive that makes the dwarfs build needlessly complicated structures regardless of danger. Having ambition rewarded by success and then having it taken away is enough to snap a dwarf, as indicated by the masterwork destruction tantrums. Nobles, the flawless paragons of dwarf society, impart their productive ambitions on the fortress and are recognized for the wisdom therein.
I do not consider obedience to be a virtue of a dwarf because it is absolutely an ingrained characteristic of dwarfs. There's no such thing as a disobedient dwarf. Mad dwarfs are no longer really dwarfs and fail to be part of the fortress as a whole. This is why the other dwarfs attack to destroy mad dwarfs. The sense of community is, likewise, a simple property of dwarfs. All dwarfs work for the common good, as dictated by the playerdwarf and nobles (in their infinite wisdom). Even the dwarfs that sacrifice other dwarfs (fell moods) do so for the sake of production and ambition, which are held of greater importance. Dwarfs will gladly give their lives for the chance of impressing the playerdwarf with their errant, unarmed, unskilled heroics against the pit of giant cave spiders.