

We make withholding contributions to our annual tax bill every paycheck, we can force wealthy people to make a large number of withholding contributions spaced throughout the year to avoid market effects from it happening all at once. If they over-contributed, they get a refund, and if they under-contributed, they owe a bill and possibly a penalty.
Firstly, I think your focus on housing is too narrow to solve wealth inequality.
Second, if landlords are handed a $100 monthly tax bill they tend to increase their tenants rent by $100 a month.
Third, you ignore the effects this will have on new home construction, which will be SEVERE.
Fourth, and this is a minor thing, I think when discussing housing policy we should always be trying to disincentivize suburban sprawl snd incentivize density. Having more people own single family homes is not necessarily a great thing, maybe better than having corporations rent them out but not as good as having more dense walkable transit filled urban cores. I’d even go so far as to say that while having people own condos is best, having people rent apartments is still better (on a large scale) than having people own single family houses.