Section 1: The Supreme Court of the United States shall consist of nine justices.
Or you could just as soon state that any changes to the size or composition of the court will take effect after the presidential term in which it is offered. At least in that case, you'd at least get a chance for the people to vote for the presidency on that issue before it goes into effect.
Section 2: A two-thirds majority is required for the Supreme Court to overturn any act of Congress or legislation of more than one state. The legislation of a single state requires a majority ruling by the Supreme Court to overturn.
Probably the best part of the amendment. The court needs some judicial review power, but slim majorities of nine people overriding properly passed legislation is pretty iffy. Judicial activism needs to be reined in.
Section 3: Congress has the power to pass legislation to order the Supreme Court to hear cases appealed to the Court.
Well, in terms of leaving the number of members at nine, you may find that Congress could swamp the Court with a heavy workload. There may well be a need to be able to increase the number of Court members and then split them up into two sessions if this gets out of control. It could also get pretty political, and the court should do its best to avoid being force fed political cases. If this power is to be kept under control, it should be a 2/3rds vote, just like overturning a veto.
Section 4: Supreme Court Decisions may be nullified by vote of three-quarters of the Congress and then further ratification by three-quarter of the State Legislatures.
I don't see the point. Wouldn't that be the same thing as amending the Constitution, just under a different name? If you can get that much support, an amendment would be a virtual shoo in. It might be more palatable to some people than an "amendment", but any such nullification would certainly come in as a strong judicial precedent of same caliber as a real amendment.
I'd vote for this amendment, but I'd hope some things would be altered to be more practical. There is something to be said for restraining the legislative and current popular opinion somewhat.