When you start your training at PPL level, you fly from day one in the left hand seat anyway.
I realise that the ancient crates we do are initial training in are the old 2 handed type control columns as opposed to hi-tech joystick (although some light aircraft have a single control stick), when I fly, my right hand is taken up doing various tasks such as trimming, tuning radios and beating the s**t out of my passenger in the right hand seat when they touch something they shouldn't!!!!!
Hence I can't see that it would make a lot of difference whether you are right-handed or left-handed, as you learn to fly the aircraft with your left hand from your very first flight anyway.
I find it more awkward to fly the aircraft as a passenger from the right hand seat when I fly with other pilots. It just doesn't feel natural but I guess thats just because I'm not used to flying right seat.
I would be quick to point out that I have never flown a jet before (I haven't got that far yet), but I guess the principle is the same.