OK. IF everyone one in the US was given the exact same amount of money to live off of there will always be ambitious people that have good ole American Ingeniuty. They would start having more money than the "poor" because of saving or creating and it would all be set forth again in 200 years where you would have rich and you would have poor. Duh. 
Actually, It'll happen all by itself, ingenuity not required. The laws of "Supply and Demand" will fix it such that bottom earners cash only buys the basics, and the 'Global' marketplace that Democrats love so much will accelerate that decline.
For lurking DUmbasses, here it is -as simple as I can make it.
A bottom earner receives 'X' a year. An employee worth twice that earns '2X', five times that '5X' etc etc. So, lets say the average 'middle class' American earns 3X a year, okay ? If one produces a product that has features that a 3X earner is willing to pay for, one will set the price such that it fits in a 3X budget. - that same producer also needs to find talent to make that 3X earner product - so that producer is going to have to pay salaries worthy of that talent, squeezing their bottom line. So, either the producer will need to hire fewer people at a higher rate, or go the other way and outsource it like Apple does. -Dropping a bunch of people down to 'X' who would otherwise be earning a multiple of X.
Eventually though, it will all balance out - what will happen is more dollars will enter circulation, increasing supply which drops demand, and with it value. - meaning that a 'living' wage will soon be worth the same proportionally as unemployment is today.
When it comes to international trade however - the leveling will happen much, much faster. More dollars in circulation means each dollar is worth less. So, when Japan exports a product to the US, they want enough dollars to convert into the amount of Yen the product is worth. So, that $600 Playstation will very quickly become an $800 Playstation, so that Sony gets the same amount of Yen in the end.
In very short order, items that can't be afforded today by the unemployed will be the same items that cant be afforded by 'living' wage earners.