Yeah, in theory you should ride near the left edge of the right lane (if multi-lane) until you get near your exit point, at which time you mosey to the right -- "own your lane". This is basically the same way you should ride on a road with shoulder when the shoulder converts to a turn lane.
In practice, I suspect I'd be tempted to stop, dismantle my bike, and mail it to the other side at many of the rotaries I've seen.
Keep in mind that folks in the US are largely unfamiliar with these beasts, and are often seriously confused by them. They can easily miss seeing a bike in the confusion.