What makes you think people will accept The One True Machine from the feds is any better?
An important part of elections is for people to understand and trust the process. Paper is easy to understand; you and a bunch of your neighbors counting paper votes is easy to trust. Maybe mix in a machine to speed up the process that is also verified by hand.
Yet I can't help but think nothing will convince those who so easily believe in a vast conspiracy to alter election results spanning multiple states with different political leanings and cultures.
Microsoft has a project that seems to work in this direction: