Bad idea.
BAD IDEA!
We need to go to all paper ballots counted by hand in front of many witnesses.
We might even need to go to non-secret ballots like a caucus.
He who casts the vote determines nothing, he who counts the vote determines everything.
The biggest problem with doing away with secret ballots is that it makes fraud verifiable. Let's say Mallory pays Alice $20 to vote for socialist candidate A. With a secret ballot, Alice can go into the voting booth, and cast a ballot for Constitutionalist Candidate B, step out of the voting booth and collect her $20, with Mallory being none the wiser.