Found an article about what it kind of takes to get guild missions and what they are and what we get for doing them. We are going to need 50,000 influence just to unlock guild missions........
*sigh* Looks like the small guilds get shafted a bit more. So looks like once we finish 2 weeks worth of Art of War Training(which the article isn't sure what the prereq's fully are but they are trying to clarify with Arenanet) then we are back on the saving influence wagon until we can actually purchase access to the missions. Assuming we do dungeons like we have been doing and grouping up to do events for more guild influence, we should have guild mission access by, oh, 2 months from now.
When I get online tonight, I'm going to see if the patch has been applied yet and take a good long look at the various influence trees. Once I see them, I'll be able to figure out what the deal is with the missions and what else we are going to need.