1. the fixed pie fallacy[0]. You actually need separate evidence to suggest that the 1% are taking away income growth from the rest of the percentiles.
2. The 1% generally makes the most in good times, and loses the most in bad times. The chart did not seem to include asset devaluation loses - e.g. the housing crises, stock market loses, investment losses etc. This is a huge omission. The past 34 years may also not be a very representative prediction of the future.
3. There is nothing morally wrong with income diversity, particularly if the poor still live long lives, are not hungry, have access to modern technology, transportation, and modern entertainment. I personally think income diversity is a good thing. As my right bias, I believe generally that "Disparities are natural and just" , and not "Disparities are due to injustices" - Fired Google Engineer.
[0] http://www.aei.org/publication/the-fixed-pie-fallacy/print/