I haven't looked at any numbers, but surely if we taxed billionaires enough to turn them back into millionaires, we'd probably not have to tax anyone else at all.
I think the better option is to close loopholes. Even if we increase taxes, they still have ways of avoiding taxes. We need to make it less avoidable for the rich.
I disagree because there will come a day in the future, however distant it may or may not be, that folks of all classes will have affordable access to space tourism, and most folks (read: the non-rich) do not need to be taxed any more than they already are.
Now, taxing those who own space tourism is something I can get behind. Tax them for the pollution they generate for fueling their rockets. Tax them for any space debris they generate. And tax them for simply existing in the first place.
Just find everything from their pockets first before you even ask us. Your tax rate is now related to the amount of the country's wealth you have. Counting all the stuff you moved out of country specifically to avoid this. That should actually count against them double to further disincentives doing so.
Maybe even worse in the first few years of the change so it will be extremely difficult for them to move back quickly enough to dodge some of the impact of this.