Until such time as it is possible to fully ID a person sitting at the keyboard then no.
More than 11.6 million adults became a victim of identity fraud in the United States. No way in hell am I putting my personal info onto a computer. Remember what they say about the net...once something is on it, it STAYS on it. And no matter what type of security software you have it can still be either gotten around or hacked into. As I like to say....what one man builds, another can tear down.
2012 Identity Fraud Report: Social Media and Mobile Forming the New Fraud Frontier
As for those that think voting should be done online also....You're just flat out crazy.