It’s against the law to encourage large numbers of people to break the law. Thus, it would be against the law to encourage a tax strike.
Nevertheless, I often wonder if, suppose, everyone were to claim ten dependents and thereby reduce withholding to a minimum and refuse to pay taxes would it starve the beast and swamp the enforcement authorities? Would there be a similar effort that could somehow starve the beast?
I have to admit that I have done that and know other people that did. I leads to taxes, penalties, tax liens on property, wage garnishments, etc.