A properly designed e-voting system can be more secure than a paper system.
Now you issue mag-cards that you insert into the machine, you vote, the machine records your vote and writes your vote on a harddrive and onto the card. The computer will send the results, once the polls are closed. If there is any question on the vote or the machine breaks down, the cards can be read and the votes recounted.
Of course you'd secure the computer, etc. but I can make it faster and more secure than any paper system.