No matter how you glue the linoleum on to the foot, it's going to rip right off. If there is a bicycle frame builder, or a very, very, very good bike shop nearby they will have a brazing set up. If you are trying to get the bike going again without a lot of tools, I'd try a sleeve on the inside of the drum to give what's left of the foot something to grab on to. As long as it more-or-less fits in place and doesn't foul on the foot in the "off" position it could work. If you are interested, I could scan a picture of the New Departure repair sleeve- a picture of the hub innards are at:
http://www.sheldonbrown.com/coaster-...departure.html
The foot on that brake is part A.8, with three tiny brake shoes.
Take this with a grain of salt- I have never actually seen one of these hubs!