What would happen if all of Saturn’s moons (not rings) crashed into it?

Question: What would happen if all of Saturn's moons (not rings) crashed into it?
- Keywords:
  moon,
  planet
Asked by Charlie to Arthur, Clare, Daniel, David, Tora on 18 Nov 2014.
- David Wilson answered on 18 Nov 2014:
  
  This would be very upsetting, as Saturn’s moons are fascinating. If we were watching as it happened, we would probably see a series of very bright flashed as each one hit, then see massive clouds of dust and gas surround Saturn. Saturn would probably grow slightly, as would the rings.
  Something similar happened to Jupiter in 1994 when it was hit by a comet. There are some pictures of that here:

Question: What would happen if all of Saturn's moons (not rings) crashed into it?