Not always. At some point, the cost of enforcement becomes too high and unfeasible.
An example of what I’m talking about is the black market for dollars and the use of bitcoins by Venezuelans to illegally dodge currency controls.
Thanks for the 2nd Amendment :-) Force doesn't have to be privatized by Governments.
Your AR-15 isn't much use against the Airforce's F15. The world has moved on since 1776, local militias can't cope against national military - even one as an expedition force, and in the U.S specifically entire countries can't cope against the U.S. military as an expidition force, what hope does a local militia have against a U.S. based military?
The most you'll get is a guerilla war and terrorism, and that always works out well./sarcasm
And if the US military ever turned against its own citizens on US soil, you can bet a huge number would defect and hell would break loose.
In the end, force wins. Irrefutable mathematics are just a tool. Every right we have has been won through struggle. Sometimes that struggle is non-violent, sometimes it's less so, but it's always a struggle. A lot of people tend to forget that and think that technology will magically solve things. Or if not technology, something else or someone else will do it.