If wealth distribution were equalized, it would sink to a lower common denominator because once people rely on a set income their drive for wealth is extremely diminished and they don't work as hard, then eventually people starve... but hey it would be equal, so that's... good?
If no one works, then who will grow the food crops? Who will patrol your town? Who will look after the public transportation and other facilities? It is bound to fail.
Why would anyone stop working?
Wealth distribution is just a data or a property of a system. I think most people are not speaking about giving everyone the same amount of money (it will never happen), but a shift from a greed oriented world to a cooperation and common good oriented world.
binary people are amusing.
Why would people stop working?
Take the US for a case study, those who have unemployment tend to only actually get a job right before it runs out. Why WOULD they start working is the real question. In order to evenly distribute the wealth, you would have to make allowances for low-skill workers or people who are unemployable because of either their attitude, intelligence or physical ability, if that were the case, those who do not have a very big drive to make something of their own (which is most people) would simply try to find a way to take some of this easy money. Once they do, they take it because they can, and often work under-the-table to make up the difference between what they get handed and what they want.
The alternative is scary.
If you want to distribute wealth and won't take excuses, you must literally enslave the populace and put them to work on your terms (or the terms of whomever is in power) they would then be coerced to farm or do factory work (this is what happened in Russia during communism to a certain degree) and while they had some triumphs, the general effect was massive poverty, a large black market, corruption in high degree and the wealth being distributed mainly in the government and police.
In short, you CAN'T distribute wealth evenly by force, and when you even attempt it, the outcomes are so bad and history is so replete with examples, you must be a madman, evil or simply too stupid to understand history to attempt it.