There are definitely problems with most wealth tax proposals, but I think the author understates the generational differences in opportunity that emerge from massive wealth inequality. As I stated in another thread, perhaps the best solution would be to combine the two for a wealth-based income tax. If you're already worth 20M, should you be paying a higher rate on your 500k in interest than if you just sold your first company for 500k and previously had nothing? I think that's a reasonable way to address income inequality in the long run without forcing people to liquidate assets, especially those like Elon Musk who have most of their wealth tied into companies they actively manage or people whose entire net worth is tied up in historical family properties.
The current system is broken, but mostly because the income/capital gains tax/AMT need to be graduated on a far different system than today. Right now, making 510k places a single person in the top federal tax bracket, while there are people making 10,000 times that some years. If there isn't a high bracket that is rarely achieved in practice (10B+/year for example), then the brackets are probably broken. Right now we have a sharp cliff where it is very difficult to become a millionaire, but once you get a few million it becomes far easier to multiply wealth.