If you want to tax everyone the same, eliminate taxes on corporations and have an income tax when money moves from a corporation to a human. This would drastically simplify many things - loss carryforwards, depreciation schedules, etc.
But comparing the 35% corporate income tax + 15% long term capital gains (less inflation) [1] that Steve Schwarzman pays to the roughly 30% that the teacher pays is silly. The teacher pays far less, but these facile comparisons ignore most of what's really happening.
[1] Or 35% corporate income tax + 39.6% dividend, since you specifically singled out dividends. Or maybe 35% corporate income + 20% qualified dividend, depending on how it all works out.