What a stupid place to start “civil disobedience”. Not paying taxes due? yer screwed from the start. No such act, short of massively coordinated, would come anywhere near sufficient effect to matter.
Knowing what exactly the law requires, however, may lead to enlightening above-board options. The best alternative to the above-proposed idiocy is self-sufficiency: reduce your costs & taxable income such that there is nothing to object to - and little for the greedy to confiscate and abuse to their own ends.
Most are unaware that the way our society works, ways that are loudly debated & derided, are merely a matter of choice of cooperation. Outside that mainstream are many who function unnoticed and freer.
There are more ways to tax you than just on income, there are revenue tickets (fines) for a variety of “offenses” as well as sin taxes (on everything from soda pop to strippers to tobacco).
One big thing that two-income families can do is to become one-income families. When you factor in the cost of child-care, extra dry-cleaning, needing to buy pre-prepared meals, having to have help cleaning the house, the need for a second commuter care, the second income doesn't really add that much to the net financial picture.