in the US, it should be a Church. The nice thing about a church is that unless you want a bank account*, it's not terribly hard to define your organization as a church. The beliefs of a church as Darth has suggested are pretty obvious but you could fine-tune, something along the lines of: "All Hail Satoshi", and "Truth In Transaction Sequence".

Removing Fiat from the equation won't be so easy tho... you're going to need to get your internet and electricity from somewhere. Start figuring it out soon.

[* - since the only two ways that the State can enforce it's intent are the IRS and Cops, getting a bank can be difficult as the IRS has some claims as to what a church is not. of course, they can't tell you what a church is. DYOR ]