The can do that now. If the Supreme Court strikes down Obamacare and he ignores them, who will stop him? Only the Congress can stop him through impeachment, and if they don't, the people have to change the Congress or change the Executive. It already works that way.
So is your point that Newt is OK with it as it is?
Yes, we have a mess but as I read it this idea makes it even worse. Under this scenario Congress could impeach the President, then the President could make a deal with the Judiciary and ignore impeachment. Musical chairs version of "you scratch my back" with the idea to get just one other branch on your side in any dispute.