The proposed voting system is far safer than what we have now.
Each voter age 18 or older receives a Voter ID card.
This card is similar to the bank cards we use every day. If it's ever lost or stolen, simply report it and you'll get a new one.
Your Voter ID card, or VID, is good for one election cycle (or one calendar year). Doing it this way reduces the chance of fraud, like selling cards. Each card is also tied to your SSN (social security number), so you wouldn't want to sell that along with your Voter ID card because that could lead to a lot of trouble.
To use your card, simply insert it into the voting booth or enter it online at a secure government website. You will be asked for your social security number once just to make sure it is you (the same as the IRS site, banking websites, and many other secure institutions).
Once you're logged in, you may cast your vote for any issues or candidates on the ballot - or none at all, if you so choose.
Participation is voluntary — you may vote to your comfort level.
Encryption uses math to ensure security - the same way your bank and many others do. In order to make sure the system is safe, the software running it will be open source.
Open source means anyone and everyone can look at the code. This guarantees transparency.
In addition to being viewed by thousands of skilled programmers, 3 independent "watch dog" groups will be commissioned to audit the code every year. We invite civillian groups to audit as well, in the unlikely event something gets missed.
Actually, the many of the current voting machines are outdated and very suseptible to attack! It has even become a kind of joke at hacking conventions, seeing who can hack the voting machines the fastest. Even talented high school students can break into these machines in mere minutes. It's embarrassing they're even in use.
In addition to the heightened security of the voting system, a virtually unsellable Voter ID system, and reduced overhead (mainly, cost) by communities, this centralized voting system allows citizens to do more than vote for politicians every 2 or 4 years. Citizens can bring up issues, comment on laws and initiatives being proposed, and vote with convenience online.
For details about voting system specifics, see this writeup about how it works.