The difference between the voluntaryist approach and that of the Embassy of Heaven Church is that the church relies upon the Christian religion as its bulwark in resisting the State. Only those who give their allegiance to Jesus Christ are eligible to use the Embassy of Heaven Church documents and procedures. Freedom is not just limited to those of the Christian faith because freedom is an attitude of mind, a recognition that you control yourself, rather than letting some outside authority dictate your actions. In fact, there are some Christians who would use the government to enforce their view of the world upon others. Whereas the Church says its members are not residents of the state, thus escaping its jurisdiction, the voluntaryist says that the state should have no jurisdiction over any one at all.
Residency has nothing to do with the matter.
The state is a coercive institution, completely at odds with the moral laws that decry thievery, slavery and murder. Evil in any form should not be legitimized, so the voluntaryist refuses to grant validity to the state's claim of jurisdiction, even over residents. The Church is also at work on issuing its own passports, rather than saying that the state has no right to demand travel documents. What the church would do about licensing if the state were to disappear is its own decision. The important thing is that it leave us alone, and supports itself by voluntary means.