... except that part where $1,000 per month per person in the US comes out to about $4 trillion, which is 100% of all taxes collected.
There is no universe in which this much money can be given to every citizen in the US without creating new money.
Doing the accounting in a naive way is also misleading with a UBI, because it's effectively a tax credit. If you paid $15,000 in taxes and received a $12,000 UBI, you're really in the same situation as if you paid $3000 in taxes and had no UBI. The fact that you're nominally paying $12,000 more in taxes doesn't actually affect you because you get all that back.