Actually, it's mainly "run" by Gijs - Curt isn't really handling most of these things himself.
If you are interested in becoming a mod, it's best to reach out to other mods - there's an internal moderator-only sub-forum (not public), where other mods will discuss such issues.
In general, it helps being polite/professional, and if you do hold strong opinions, you are better off being courteous and having a certain reputation, e.g. of being well-aligned with the project as a whole.
The general idea is that there's a sufficient number of [b]active{/b] volunteers to help with things like managing the forum/wiki - it is quite normal for a project like this to suffer from a certain attrition rate. For instance, Gijs, bugman or Johan are currently no longer as active as previously - Stuart also seems to be busy with other things.
Overall, mods/wiki admins are ideally "well-aligned" with the folks running the project behind the scenes (aka core devs), as most core devs are not really interested in helping with things like the wiki or the forum (many of whom are not even contributing to the forum/wiki respectively).
If in doubt, offer your help with the forum/wiki via the devel list or reach out to other admins/mods behind the scenes beforehand.
Ideally, the project would regularly re-evaluate its number of volunteers involved in these areas, to get volunteers involved more easily - as a matter of fact, there could be annual poll to nominate new volunteers - to get some kind of "routine" going. Compared to other domains, like e.g. core development, getting involved in the forum/wiki is a rather simple way of helping the project, i.e. you don't need "commit access" and you also don't need to be a core developer.
best of luck !
PS: If you're looking for a "role model", look up Gijs' introductory posting to the devel list early ~2007 (?), when he introduced himself and offered to get involved in helping with some of the more tedious chores. Another role model, would be Stuart, who is the rare exception of being a core developer and admin/mod on both, the forum and the wiki. If you can emulate/replicate their behavior (as in acting in the best interest of the project as a whole), you would surely be considered at some point