In practice, it would have a similar impact on the books as a program that gave $1000/month to just the poor people. Giving the money to everybody and then taxing it back from most makes it seem much larger but makes it a wash in practice.
There is a huge amount of taxes that the ultra-wealthy are currently NOT paying. In fact, the vast majority of income taxes are actually paid by the lower and middle classes, because once you hit a certain level of income you have enough money to pay professionals to help you shelter your money and avoid taxes.
For example, Warren Buffet only paid $1.8 million in taxes in 2015, even though his wealth was worth 72 billion at the time. His wealth literally grew 12 billion that year, and he only paid $1.8 million in taxes.
That means he paid only 0.015% in taxes, in terms of wealth growth vs income taxes paid.
Meanwhile, someone earning $100K would have paid around 20% of their income...
In comparison top 10% of the Danish tax payers paid just 31.3% of the total income tax, despite Denmark having rather high taxation (the OECD method that puts it as #1 is controversial, but I pay e.g. a 42% marginal tax rate on any capital gains).
'share of the total taxes the rich pay'
And
'the percentage of their wealth the rich pay'
It may only take the rich 5% of their income to pay the 38.5% of total taxes because they're capturing so much of the value generated in America and hiding it whereever.