Maybe there should be an automatic sort of thing, like I have on my forum. But I'm not on V Bulletin, so I don't know if it would work...
No. First and for all not all threads that haven't been active for a month are forbidden to post in, so that makes that option already impossible unless you start making things complicated. On top of that that would mean that around 90% of all threads on NB would be moved to that section =/
Outside the fact that such a sudden move of so many threads could overload the forum, it would be chaotic as you completely loose the entire structure and organization of the forum =/ Not to mention it wouldn't solve a thing as then you just shifted the problem as one of the reasons we have that rule is to give other threads a chance, which then also should be the case there.
Also it depends on the section whether we take the one month rule strict or not. In a section as the FF section it can be quite a problem to have enough chance for your FF to be read. If someone starts to read a FF that has a number of chapters and bumps the first 5 chapters from one year ago even though they have been dead for a year on the same moment you post your first chapter, the chances that your FF is read become even lower. Is that fair? Of course not, those chapters already had their chance, so to give everyone a fair chance those chapters can not be bumped.
However in the section as the Library section where there isn't much activity it's possible a non active thread is still on the first page, if you bumped it's not like it's going to make much difference.
So no, this is a bad idea.