I think people here are trying to put too much on this system. The designers mean Helios to be used in 'low-coercion' elections:
We present Helios, the first web-based, open-audit
voting system. Helios is publicly accessible today: anyone
can create and run an election, and any willing observer
can audit the entire process. Helios is ideal for online
software communities, local clubs, student government,
and other environments where trustworthy, secretballot
elections are required but coercion is not a serious
concern. With Helios, we hope to expose many to the
power of open-audit elections.
...
Low-Coercion Elections. Voting online or by mail is
typically insecure in high-stakes elections because of the
coercion risk: a voter can be unduly influenced by an attacker
looking over her shoulder. Some protocols <13>
attempt to reduce the risk of coercion by letting voters
override their coerced vote at a later (or earlier) time. In
these schemes, the privacy burden is shifted from vote
casting to voter registration. In other words, no matter
what, some truly private interaction is required for coercion
resistance.
With Helios, we do not attempt to solve the coercion
problem. Rather, we posit that a number of settings—
student government, local clubs, online groups such as
open-source software communities, and others—do not
suffer from nearly the same coercion risk as high-stakes
government elections. Yet these groups still need voter
secrecy and trustworthy election results, properties they
cannot currently achieve short of an in-person, physically
observable and well orchestrated election, which is often
not a possibility. We produced Helios for exactly these
groups with low-coercion elections.
http://www.usenix.org/events/sec08/tech/full_papers/adida/adida.pdfThe point about it is that for some communities, using physical polling places may not be practical with their budget, or they may get a far better turnout if an internet connection allows remote voting (which, for instance, allows a long time to vote, without having to have volunteers man a polling place, even if everyone can get to it). This is not designed to be a solution to government voting problems.