The federal Constitution, laws and treaties are the supreme law of this country. Anything in state constitutions or laws contradicting the federal Constitution, laws or treaties is not valid (Article VI).
The Constitution establishes the federal judiciary and grants the Supreme Court final say in cases in which the United States is a party (Article III and the 11th Amendment).
In cases involving laws that contradict the Constitution, the Supreme Court is required to hold the Constitution above those laws (Article VI), granting the Supreme Court the power to decide if laws are constitutional.
Since the Constitution grants the Supreme Court the power to decide if laws are constitutional, that power is not reserved to the States nor to the people (10th Amendment).
Therefore "nullification" is unconstitutional. A State does not have the power to nullify a federal law it deems unconstitutional.
That's it, cut and dry, crystal clear to me. No intent, judicial history nor major inference required.
I'm hoping I can simplify this argument even more and use it to combat the tenther nonsense.
Is it really this simple, or am I missing something?