The belief was that the Federal Government had grown too large in the economy and needed to be "starved". To what extent government austerity vs. new monetary policy moved the needle for the US economy is unknowable. However many Americans of that generation feel that the starve the beast approach was correct.
If you talk to Americans opposed to new taxes, their opposition is usually based on the idea that the government will waste the money in one way or another. Even those on the left in favor of taxes are often in favor of taxes for redistribution purposes. It's rare that anyone pitches the government as competent outside of military spending, and even then there are many asterisks on 10k light bulbs in submarines.
If you want Americans to agree to taxes you'll need to change the perception of government competence.