I would like to make 2 points:
1) Regarding Kupat Cholim – One does not “take” Kupat Cholim. You pay a fee to Bituach Leumi and you receive health coverage through that. I do not have any idea if paying these fees is part of the “anti-government” shittos, although my husband does learn in Brisk and from what I know most of the people I come in contact with through that do, in fact, have Kupat Cholim. I would compare this perhaps to Social Security/Medicare, although in EY health coverage is for everybody not just the elderly.
2) Regarding “paying taxes”. As LJ says, if you work on the books (an official job), then you will have an obligation in taxes. But for people with “low income” let’s say 1 spouse works officially and the other either learns or works unofficially, then there is such a thing as to get a “patur” from taxes. This would be the equivalent of claiming many dependents on your withholding forms for taxes by your employer, thus having basically only Social Security and Disability withheld from your check. Or, if you had a low income (again only 1 spouse working example), then when you finish with all of your exemptions and tax credits, etc, on your 1040, you are entitled to a refund (yes I know that you probably had $ withheld during the course of the year but there are probably extreme examples of people owing $0 in taxes and getting all of their withholdings back, no?).