All technology is designed to gather dust... eventually. It's called 'functional obsolescence'. The breakthrough development that separates this technology from previous technologies (such as the C64 in your attic and the 64MB thumb drive lodged somewhere behind your monitor) is that this gathers dust right away. Since this gathers dust virtually immediately, you can theoretically sell dust gatherers to consumers at a vastly increased rate.
So what you're saying is that we gather huge clouds of solar dust and create Earth 2, then use E2 to manufacture more dust gathering devices (infinite creation loop). In all reality, if the probes were used for this, would they one day be worshiped as providers, or feared as they gather the planets much to close, and start another star right next to Wallstreet? I guess this depends on how much time the coder took writing the AI. Are we thinking Skynet, or Rosie from the Jetsons'?