USA Inc. with every citizen as shareholder would work like this: I earn $100K/y, my neighbour just $0/y. I pay $20K in taxes, he pays none. We both get $12K/y from BIG. For me it's a dividend. For my neighbour it's free money. So what's my incentive to work? Screw this, I quit. Now, USA Inc. get's $0/y from both of us. For 4 months we still get the cash, from the surplus. But that runs out, and now we both get $0 and are jobless.
BIG will only work if there are more people who work than those who don't work. Making things easier for people never actually helped them. Those who succeeded had to go through hard work.
Your incentive to work is that you earn $100k instead of $12k. I certainly wouldn't quit my job if it means that much of an income hit. This is actually a real situation for me - I could quit my job tomorrow and get more than $12k in benefits, but I won't.
(I'm not agreeing or disagreeing with the premise, just brainstorming)
You'd lose a lot of people as a lifeguard.
Also, your economics is pants. Giving $1000 to everyone is going to make a lot more difference to someone eating out of dumpsters than it is to Bill Gates. And it isn't about rescuing people by giving them a lump sum and expecting that things will be fine, it is just about giving people enough time for reflection that more of them have a chance to sort their shit out. Life is hard and people are disorganised bastards, if we try and make it a bit easier for people we might get more done.