If you look at all federal taxes, as this analysis of CBO numbers does [1], then it seems that the top 1% take 18% of income and pay 28% of all federal taxes. So, you are right that the portion of all federal taxes is not as great as I made it seem in my parent comment, that comment only takes into account federal income tax. But, I believe the overarching point and conclusion still stands.
1 - https://www.factcheck.org/2008/05/top-1-what-they-make-and-p...