Yes it would be folly.
Spinskins or Armadillos or both, or any good quality Kevlar belted tire (and there are many), are the best answers. If you really don't care about speed or effort and money is a big issue. And if you have old tires like the ones on the bike or smaller. You can cut the beads off the old tires and put them inside the good tires. You will lose about 1 mph on flat ground, but you can ride over most glass, small animals, and medium size dogs....
