Here's the stuff we use for this sort of thing
3M Hi-Strength 90 Spray Adhesive 
It only needs to dry for about a minute, then you put the two pieces together, but once you do, that's it. No moving them. The best way is to use a "slip sheet" or dowels to help get the two things lined up properly...
There's also
Super 77, also by 3M...it works about the same, but isn't
quite as strong sticky-wise.
Only other bit of advice is "Beware of OVERSPRAY" it gets on everything and is a PITA to get off. Use
Bestine (Xylene) for clean-up.
Shari
