First off that article is from 2007. Second off, Goggling something doesn't prove its correct. If you have multiple and CURRENT sources for information I would see your point.
The main point I am trying to make is that the middle and upper middle class pay MORE taxes (Per income percentage) than any other bracket.
Take your article from above and now apply it to the below table:
National Taxpayers Union - Who Pays Income Taxes?
Now what do you consider rich?