Myth
The proper response to federal overreach is by using Article VI, not Article V
Fact
Article VI contains the supremacy clause and the oath of office requirement. There is nothing to do in Article VI.
All Debts contracted and Engagements entered into, before the Adoption of this Constitution, shall be as valid against the United States under this Constitution, as under the Confederation.
This Constitution, and the Laws of the United States which shall be made in Pursuance thereof; and all Treaties made, or which shall be made, under the Authority of the United States, shall be the supreme Law of the Land; and the Judges in every State shall be bound thereby, any Thing in the Constitution or Laws of any State to the Contrary notwithstanding.
The Senators and Representatives before mentioned, and the Members of the several State Legislatures, and all executive and judicial Officers, both of the United States and of the several States, shall be bound by Oath or Affirmation, to support this Constitution; but no religious Test shall ever be required as a Qualification to any Office or public Trust under the United States.
Presumably "using" Article VI means putting pressure on your elected officials when they do things that are unconstitutional.
There's nothing wrong with trying to put pressure on your Congressmen. But there's also nothing new about it. And trying to pressure your Congressmen is a futile exercise today.
It's futile because the Supreme Court has handed down opinions that say that Congress can regulate almost every area of our lives, and they can tax and spend money on anything they want without any limit (think: national debt).
It's the structure, not the people
With no real taxing, spending or regulatory restraints, people in Congress tend to vote for someone else's spending bills because they know that buys them power. And Congressmen that don't play that game lose power and influence. So the temptation is very strong for everyone to vote for everyone else's spending bill.
"I do not believe that the solution to our problem is simply to elect the right people. The important thing is to establish a political climate of opinion which will make it politically profitable for the wrong people to do the right thing."
- Milton Friedman
Fix the structure and the people won't matter
Court opinions that have enlarged federal power need to be overturned. But when those opinions are from the Supreme Court, the people either have to wait for the court to overturn itself (Plessy, Roe), or the people have to amend the Constitution.
Article V
So if we don't want to wait 50 or 60 years for courts to reverse themselves, the only option left would be the amendment process.