When you show up to vote in a non-voter-id state, you only have to give your name. Any one could have shown up in my place and voted in my name, because no ID was allowed to be show. This was made more apparent when I reached for my wallet instinctively as I gave my name, and they gestured with hands out that "we don't check for ID".
Sure. But this is completely independent of the discussion above, which is about voting in multiple locations despite showing proof of identity. What the poster wants is to provide both proof of identity and proof of residency at the polling place.
People sign when they vote and signatures can be matched against registrations. When we examine this, we don't find a large number of people performing voter impersonation.