If the president announces executive amnesty, the new Senate majority leader who takes over in January should announce that the 114th Congress will not confirm a single nominee—executive or judicial—outside of vital national security positions, so long as the illegal amnesty persists.
……..
Additionally, the new Congress should exercise the power of the purse by passing individual appropriations bills authorizing critical functions of government and attaching riders to strip the authority from the president to grant amnesty.

President Obama will no doubt threaten a shutdown—that seems to be the one card he repeatedly plays—but Congress can authorize funding for agencies of government one at a time. If the President is unwilling to accept funding for, say, the Department of Homeland Security without his being able to unilaterally defy the law, he alone will be responsible for the consequences.

A presidential temper tantrum is not an acceptable means of discourse.

More: Obama Is Not a Monarch - Sen. Ted Cruz - POLITICO Magazine

Groucho Marx explained the guiding principles of GOP much better nearly 80 years ago.

Your proposition may be good,
But let’s have one thing understood,
Whatever it is, I’m against it.
And even when you’ve changed it or condensed it,
I’m against it.