As old as this topic is, I'm suprised no P-3 Bubbas have spoken up.
The P-3 syllabus starts with pilots in the left seat, from advanced in the T-44 or C-12, through the FRS, and on into your first fleet tour. In fact, right seat landings don't really start until about halfway through the Patrol Plane Pilot (aka 2P) syllabus in your fleet squadron. By the end of that syllabus you are expected to be able to do everything from either seat (nothing like that 2 engine out landing with 1 and 2 at idle).
The best analogy I've heard is throwing a football through a suspended car tire with your off-hand. The general idea being that the Patrol Plane Commander has to be ready to take action no matter which seat he's in. Plus, if you only have two pilots and the PPC is in the right seat with an emergency, no seat-swap can occur (P-3's require a Natops rated co-pilot minimum at the controls while airborne at all times).
To get back to the original post, it takes a little getting used to, and feels a bit odd, but it isn't impossible or anything.