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But it wouldn’t be $2000 per worker, as you’d have to get enough tax money to pay the people who aren’t working that $2000. If I make $6000 a month and you make $0 a month, and then we both get $2000 a month from my taxes, how can my take home pay remain $6000?

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You would get an increase of $2000 in the form of UBI, but increase in taxes of $2000, so your net would remain the same. It's assumed tha UBI would replace current unemployment benefits. Of course UBI can be expensive if the amount is too large.

Well, it would be you and several of your peers making $6000 a month, one or two people making an order of magnitude more per month, and a whole heckuva lot of people making $3k-$4k a month, contributing a progressively bigger portion to the one person making $0. So, no, you don't hang on to the full $6000... But then you may get it back from taxing the capital holdings of those people who own exceptionally large amounts of private property.

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