In the US, the most frequent use of the "common law schtick" is in the ultra-right-wing "sovereign citizens" movement, which has included individuals like the domestic terrorist Tim McVeigh, and racist groups like Christian Identity and the Posse Comitatus.

Since these groups are all extremist, there a variety of drearily wacky "legal theories" they rely on to support their contention that US law and government are illegitimate. But some version is usually involved when you read about a standoff between rural whites and the federal government, or an arrested ultra-right-winger refusing to recognize the legitimacy of the court trying him (sic).

Wikipedia has plenty on the above, as does the Anti-Defamation League (adl.org), and the Southern Poverty Law Center (splcenter.org), so googling "sovereign citizen site:adl.org" (without "   "), for example, would give you a better overview than I have.

Setting up alternative legal bodies or political units on the claimed basis of English common law are tactics they've used. Otherwise, I don't know of any connection between them and Kevin Annett, who seems quite eclectic in the theories he selects to subscribe to.