I was responding to "because all taxes will be paid by workers.", which is complete nonsense.
I'm interested to see your source for the US tax receipts by quintile, though. I could definitely believe I was wrong about the richest portion paying "the vast majority". I probably should have said the top half.
For US taxes, see: https://itep.org/wp-content/uploads/taxday2017.pdf
The rate is definitely lower for poorer people, but nearly as much as the standard punditry, focusing only in federal income tax, would have you believe.
I feel like I should make it clear that my personal opinion is that top marginal tax rates should be much higher than they are, especially on capital gains, but I don't think it's fair to say that the working class is paying all the taxes, given the breakdown.