I have worked on government IT projects in a country that has 160 times less citizens and I would not take this kind of project for this kind of money.

That's because you're missing the point:

The damned thing doesn't have to work, it just has to make the administration look good. The White House gets to look forward-thinking in rolling out this amazing new technology to help fix healthcare, and they get to look good by being the underdog victim fighting against the bloated government contractor that tried to defraud the taxpayer.

All you have to do is take the money, play the patsy, and everything will be fine.

Oh yes, I am way too dumb for that.

And too principled! :)