IMHO, most economies aren't able to raise the effective tax rate because the wealthy can add loopholes or shuffle their wealth elsewhere. This isn't an economic problem, but a political problem. Is there a political will to close loopholes and restrict the movement of wealth? Do people frame wealth in terms of freedom or in terms of societal obligations?
In other words, inequality can be a sign of good (upward mobility, vibrant economy) as well as bad (poor people getting poorer).
Fixing the latter is important. "Fixing" the first is harmful.
Any solutions should focus on giving the average and the poor the ability to improve their situation. Reducing the number of rich should never be the goal.
But in practice much of the wealth of super-wealthy people is actually either tide up in the value of the businesses that they own, which are often doing economically valuable things, or is invested in useful enterprises (shares), or funds useful activities (bonds). It's not as though the net wealth of Warren Buffet is all being thrown on hookers and blow.
There are already ways to direct the spending of the wealthy towards more productive uses, such as consumption taxes on luxury goods. But if they take their wealth to other countries with laxer consumption taxes, there's no a lot we can do about it. So we're back to the libertarian argument. At some point you get into questions of freedom and individual rights.
The problem is when poor or middle class people are unable to improve their situation or lose ground.
The only time rich people are a problem for poor people is when rich people are able to corrupt government to tilt the playing field their way. This is a problem of corrupt politicians and lack of anti-corruption law.
I think people underestimate how many economic difficulties are not caused by economic effects, but by corrupt politicians who are permitted to stack the deck against the average person as a way to fund their campaigns or rack up post-governance favors.
So, unless they are actively invested in some sort of productive scheme, they are just sitting there (e.g. as huge estates, savings etc.).
In any case, it's much better for the economy to have a large middle class, than the equivalent money in fewer rich persons.
No, you don't, because billionaires's source of money is almost always capital gains. They don't give a shit about income tax.
The first thing they all did was move their incorporations out of Sweden
In every country we seen have some sort of power hierarchy, therefore unequal distribution of wealth.
Further, there's never been proof it "kills your economy." I've never met a phenomenally wealthy person who said "well, if tax rates go up to x%, that's when I stop working." These folks LIKE working, money is great, but it's not their driver. And, even if they DID stop working, would it be the worst thing in the world? Honestly - do we really think there's only one Gates, Zuckerberg, Ellison, Page, etc?
If you raise the marginal tax rate to 99%, then you get rid of billionaires, but you also kill your economy. There are all the failures of communist countries, of course, but even the UK tried this during the 60s and 70s. The government went bankrupt and had to be bailed out by the IMF. Inflation peaked at 27%, unemployment was through the roof, etc.:
https://en.wikipedia.org/wiki/1976_IMF_Crisis
https://en.wikipedia.org/wiki/Winter_of_Discontent