Avi, that’s an interesting argument. But all the religious parties in Israel (whether Ashkenazi or Sephardi, Charedi or Dati Leumi) support government support for the poor. And they would all like to actually increase it (and also nowadays, in reaction to the social justice protests, to further regulate the economy in some ways to benefit the middle class).
I am not familiar with all the sources on this issue, but it seems likely that there are other sources one could draw upon to justify our current system. Chabad.org recently put out some materials quoting various sources on different sides of a few political issues (such as taxation, health insurance, etc.)