Universal income

I just finished a book on income inequality and the author suggest that there is enough for everyone but it is not properly distributed. In the US the total income is $17.6 trillion and if that were spread among the 330 million people each would get $53,000 which means a family income of over $200,000 which would be almost four times as much as the average family income of today which is about $60,000. Statistically speaking equality could be obtained. The question that arises is not one of equality but how would a society function if every family had $200,000 annual income. Would this stifle innovation. Why would you take the risk of starting a new business. Would young people try to become professional athletes if their salary would be the same as everyone else. Would a student want to go through the riggers of medical school. How would all the different jobs be filled. Would you rather be a garbage collector or a police officer. The idea of a universal income is not practical but minimizing the problem of income inequality can be helpful. In 1950 the CEO pay was 20 times the pay of the worker but today it is 350 times more. Should a pro quarterback earn $50 million per season. Should boxer Floyd Mayweather earn $200 million from one fight. These are some extreme examples to prove that the narrowing of the gap can be done without destroying the incentive to earn. The down side is that it would require placing salary caps on these very high earners.