Actually, the wealthy have a much lower propensity to spend, since poor people need to spend basically all of their money for life needs, while rich people can still live quite well even while saving much of their income.
And what you described might again tank the housing market, which would wipe out any good impact such a policy might have. Also, the housing that is really expensive is in the form of rented property, which would not be impacted by what you are proposing (I think).
Apologies, I meant greater propensity to save - my first point doesn't really make sense otherwise; higher capital gains for the wealthy, and redistribution upwards isn't good economics as the wealthy are less likely to spend it.
My point about tanking the housing market was around house pricing, as buying a house is prohibitively expensive in probably most major cities these days.
A wealth tax, in the ideal applied to multi-million dollar wealth would mostly impact prime and super-prime properties, so hardly destroying any livelihoods, and prices lower down the scale would likely be less affected as demand remained broadly the same (more people able to enter the market as people already on it were able to purchase upwards).