Yes, I'm left-handed. What nobody has mentioned is that cameras are made for right-eyed people, too, and I am left-eyed (and left-footed, as well, come to that). The right-eyed issue is IMHO bigger than the right-handed issue (though neither of them is very big). They build cameras so that when you hold them against your left eye you tend to have your right thumb sticking into your right eye. The photo in my avatar wasn't taken in a mirror.
In the 50s they made quite a lot of cameras that were either handedness-neutral or were actually left handed and, in the case of the Moskva 5 (and presumably the Super-Ikonta C) left-eyed, with the viewing window set on the right side. I have to admit, though, that - perhaps through familiarity - I like right-eyed cameras because it concentrates my vision entirely on the scene in the viewfinder and having the camera pressed into my face helps with stability.
Of course, we now also have the P&S screen cameras for the under-40s with no vision issues or, possibly, over-40 orang-utans with extraordinarily long arms.