[maxerickson]

We already have a similar problem to what you describe.

You propose a weakness in our election system where a conspiracy of state officials that wants to influence an election can control who is allowed to vote twice. If they can do this, they can already influence the outcome in their state.

Of course we see no such thing, because the elections are only administered at a state level, they are actually done at a local level, and there's quite a lot of observation and auditing that goes into verifying that things are done correctly.