FFS, doesn't anyone do any research before posting stories? 60 seconds of research would turn up the Wikipedia entry on End-to-end audible voting systems. The problem of being able to verify that your vote is recorded as you intended without revealing the actual content of your vote has been solved by several teams. The ones that seem to have the best handle on things are Scantegrity, Pret-a-Voter, and Punchscan (the predecessor of Scantegrity) .
Using Bitcoin (which in fact has anti-anonymity properties) as an engine for voting is like attaching a tractor to a horse carriage. It may get you where you want to go, but it's nothing like a proper motor vehicle.