IDK about ya'll but the ~25-30% (or whatever) I pay in taxes/SS/medicare isn't going to be a significant enough bump to enable me to eliminate homelessness...
Where we can actually take the government out of the equation and actually help people: Zoning. In places without governments like Haiti you can raise a family in a relatively simple structure. It's not ideal but it's how humans have been not-homeless for the entirety of our existence. Currently in the US, this is basically only legal in extremely rural areas where there are no jobs, schools, stores, etc.
I can find lots near a major metro area on the east coast for 10-20k, less than I pay rent in year; but I'd have to spend half a million on some shitty twig built monstrosity that meets minimum sq footage, parking, and other arbitrary regulations that only exist to drive housing prices up, in order to live there. I can't just buy a $10k shed from Home Depot, add insulation and all the other niceties we enjoy and live there. (even the most staunch anti-government, anti-regulation types would agree this should not be legal: they want big government to use violence to prevent anyone from building cheaper housing, because cheap housing hurts their net worth, on paper.)