The reason WHY trickle-down tax cuts don't work
The problem with this picture is that it completely misrepresents what businesspeople can do. In certain very rare instances and environments, a very small number of businesspeople with very specific talents can build large enterprises. Usually these environments occur when a new industry either initially begins or when an old industry drastically restructures.
In those very short moments of opportunity (historically, they rarely last more than a few years), a handful of businesspeople with incredibly specific skills, talents, connections, personalities, etc. can build up enormous business firms, employing huge numbers of people in a very short space of time. But once that moment of opportunity closes, often there is no new moment of opportunity in that industry for many decades (or even longer).
Thus, once that moment of opportunity had closed, the resulting Bill Gates or Andy Grove or Ray Croc is very wealthy indeed. But Gates or Croc's skills and experiences are very focused on the single opportunity they exploited. It has almost never happened that a single businessperson built two successful industry-dominating firms from ground up in two different industries (in fact, I can't recall a single example of this).
Further, a businessperson of this caliber in the very special environment we're talking about is largely unaffected by comparatively small changes in his tax rate. The opportunity presented to him is so unique and compelling that he would do the same things for much less money, and would do them for much more money.
Thus, when you increase the reward to the ALREADY successful entrepreneur (i.e., he has already made a big pile from his entrepreneurship), you don't actually encourage him to do anything new. He can't, he's ALREADY done the one single great thing he could do. The firm he already built up dominates his industry, and he will be extraordinarily unlikely to be able to do it again. All you end up doing is giving him more money to give to his kids.