Article III, Section 1... "The judicial Power of the United States, shall be vested in one supreme Court, and in such inferior Courts as the Congress may from time to time ordain and establish."
Section 2... "The judicial Power shall extend to all Cases, in Law and Equity, arising under this Constitution, the Laws of the United States, and Treaties made, or which shall be made, under their Authority;"
In the beginning, all branches had to lay their claim. But, that's not what Marbury v. Madison did. All it did was establish precedent for judicial review... as a result of a claim from a JP, not SCOTUS. The Judiciary Act of 1789 is what gives them the power you're complaining about... which CONGRESS wrote. The Constitution is a framework, not a POH. Somebody suing the government over an act of Congress is where SCOTUS comes in to play, as per the design of the Constitution. If all branches started just ignoring each other, we'd have something rather ineffective, don't you think?