I’m arguing the rich should be eliminated through taxation.
What's the point of trying to tickle them out of existence? If you can break their power - for which we already have a tried-and-tested economic mechanism (ie, the aforementioned public infrastructure) - why not just expropriate all their ill-gotten private property?
Attempting to tax them will achieve nothing except giving them ample time and opportunity to use their wealth to poke a million-and-one holes in your tax laws - which, surprise, surprise, they already do on a daily basis.
As I said before... when liberals start peddling something as a (supposed) "solution" it's a pretty sure fire bet that it's absolutely nothing of the sort.