I bit my tongue the first two times you wrote this but here we go again.
” using … government funds dedicated to support of poor by people who are able to work,”
You made this up. I spoke to an administrator at the public aid office and he disagrees with your interpretation. I was also told that people who take public aid so they can pursue more lofty things (specifically torah study and stay at home mothering) are really the best use of these funds.
“make your Shabbat k’hol, but do ot rely on tzedoka”
Here’s where you do that make up halachik interpretations thing. Is your declaration of public aid being tzedaka based on something a posek told you or is it based on your feelings, your deductions or just a “sounds right”? Halacha doesn’t work that way. And if halacha doesn’t support your stance, are you willing to drop it?