re: The right way to look at this
Yep, that has the right data.
You want to go to table 8 at the bottom.
There you will see that the federal income tax burden on the top 1% has DECLINED steadily over time, today accounting for about 22% of their income, vs 25-27% for the 1987-1999 period.
Note that is measured as share of adjusted gross income, which if I'm rembering correctly means it comes after things like Schedule A deductions (which the wealthy are more likely to have since the poor don't itemize).
Still want to say the burden on the rich has been increasing?