I've gotta support the liquid nails on this one. I've been building boxes for quite a while now, and I've never had a single problem with it.
As far as the fumes are concerned, let the box air out a few days before you use it. This is especially important for ported or vented boxes because i don't know anyone who wants their entire car to smell like half-dried liquid nails (kind of a mixture of sour milk, vinegar and ***). If you don't let it cure and air out, i promise it will.