The President is chosen during an election for this very job. We can't discard democracy in order to save it if sovereignty is meant to be popular. We're not lucky like theocracies or kingdoms, where everything boils down to expert sages or raw power; the vote is the only thing that justifies our country. The only thing that makes people from the US a nation is their commitment to popular rule, one which inspired the world.
The Executive was made to serve the country and the law, not Congress. Congress is meant to serve the country and make the law. The Judiciary is meant to serve the country and rule on the Executive's service to Congress's written law, when asked. At any time and for any reason, Congress can impeach the President, and refer his case to the courts if they think it appropriate.
If law (as regulation) is made from arbitrary agencies, denying people access to the courts when disputing that law is not helpful for democracy, it is anti-democratic, because it denies access to the judicial interpretation of Congress's intent. Congress, however, is free to make itself clear at any time, if it has the votes.
This all comes down to complaining about not having the votes. And in democracies, we shouldn't be sympathetic to people who don't have the votes.