I like the inverse challenge: let's try to replace as much of government as we can with software/hardware. And the simpler, cheaper and more open, the better.
Not even kidding.
I'm already confident I can replace most/all of the IRS, Treasury, and all the welfare/safety-net type programs with fairly simple, hard-to-abuse software/hardware system. Given that the laws were significantly different and simplified. (And snowball's chance in Hell they'd allow that. Although there are alternate law/tax/welfare configurations which are both physically possible and theoretically sustainable.)