This is a good idea. I thought about this question a while back too and had a similar idea about publishing. I once worked on a voting system for legislators an

This is a good idea. I thought about this question a while back too and had a similar idea about publishing. I once worked on a voting system for legislators and I realized that no one cared about the details of how the voted were counted, because they all just watched their votes on a big screen on the wall. If it showed up wrong for any reason they could fix it or ask to have it recorded manually. A system for the public could work similarly by obscuring the personal details. It does introduce one important constraint though, at least compared to the current US system: it's possible to find out how someone voted. I don't know if it's a deal breaker, but it is a significant change. Right now, in the US, once the ballot goes in the box, there's no telling who it belonged to. With the proposed system, a person could be compelled to hand over their secret ID, or it could be bought or stolen from them.