In other words, if paying taxes is like giving tzedaka. Receiving government funds is like taking from the Tamchui.
The question needs to be asked, I’m not certain of the answer. If the answer is no, one does then have to explain if (and perhaps it isn’t) taking a Tomchei Shabbos package is Tzedaka using the same rules, especially if Tomchei Shabbos (or other “Jewish” type programs) is partially subsidized by the government.