A good end mill will handle both and you would need to cut as if it were brass or at the very least have a very interesting set of toolpaths that would cut masonite and no brass, then brass, then the next masonite, etc in various steps. As a practical exercise I don't know if it would work out or not. Since you can't use fluid you may need a venturi air blower to keep it cool while cutting the brass. Adhesive would need to be some kind of epoxy. There are several made for metal. Check out Grainger, MSC direct, RS Hughes, 3-m on line store, etc.
This sounds like an interesting adventure and you may be going where none of us have before. I don't think Brady has even tried this one! (Simulpost with Brady!)