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You're quite right about an electronic vote not being inherently bad--The problem I see with the current crop of electronic voting machines is that they are far to complex, why on earth do they need to be? Surely it can be a custom chip running, the complexity of it should match a toddlers toy. All it needs are buttons with pictures on them (analog or digital) for each of the candidates, a big okay button.
To record it you just need a simple tally and a receipt being printed on a paper spool behind a glass cover, so the voter can be sure that it's been recorded. The spool can be run through a OCR machine, or looked at manually to verify the vote.
Throw a development team together and give them a couple of million, and you'll have a cheap, working solution that will work anywhere around the country or world.