Contact Cement does not work well. I know from experience. I also did some tests with Gorilla Glue, and would not recommend it.
Liquid Nails does have an FRP adhesive...
http://www.liquidnails.com/products/pro ... oductId=26
FRP is usually applied to walls in places like public Restrooms. So, it is bonding to sheetrock panels, not small ribs of wood.
You may have to use adhesive and mechanical support, like screws, at least in some of the roof spars.
CD