You link doesn't support that claim. Where does it say we had a near zero tariff in 1940?. Under Roosevelt? Really? The US has never had a zero tariff rate.
Here is a link to the Smoot-Hawley Tariff wiki page. Check under the "Tariff levels" section. For the 1920's see FordneyMcCumber. The average dutiable rate was 59% under SMT.
And you are still missing the point. What does the average American care about the percentage of revenue the government gets from the tariff vs. the income tax? What Americans were promised was that costs to themselves would go down because the tax burden would be shifted to the wealthy. Instead, the average American saw no change in the tariff and got a new tax on top of it.
Look at my link, and look at the charts. Look at INCOME from tariffs not the rates. TRY TO OPEN YOUR MIND AND LEARN.