A reader reminded me about the Kettle Fallacy (aka Kettle Logic) in a comment about the contradictory defenses of Obamacare. It is a so-called informal fallacy - flawed premises rather than logical errors - whose name derives from, of all people, Sigmund Freud.
It would term this fallacious effort as a sub-category of the "baffle them with bullshit" informal fallacies. Via Wiki:
Freud relates the story of a man who was accused by his neighbor of having returned a kettle in a damaged condition and the three arguments he offers.
That he had returned the kettle undamaged;
That it was already damaged when he borrowed it;
That he had never borrowed it in the first place.
The three arguments are inconsistent, and Freud notes that it would have been better if he had only used one.