The first one to teach me a fretted instrument was left-handed and used a right-handed ukelele when I was probably 8 years old. I just assumed that he was showing me left handed, since everything else he (my father) taught me, like throwing a ball and tying certain knots, was left handed. When I discovered we were playing right-handed I felt baffled for a time thinking of long-suffering righties who had to fret with their wrong hand. For a while I believed that every guitar whiz was left-handed and those who knew only a few simple chords were right-handed. Obviously I wasn't considering fingerpicking into the picture.

Goatfell, I too do some things left handed, some things right handed, mostly according to who taught me the skill but sometimes according to the tool, e.g. corkscrew. With the exception of writing and drawing, if my mother or grandmother taught me
..tying shoes
..knitting
..sidestroke
..tennis, I do it right handed.

If my father taught me (except uke/guitar as mentioned) e.g.
..badminton
..fishing
..some knots, I learned it left-handed--well, with a regular rod I cast with left hand then reel right-handed.

Things I taught myself
..crocheting
..tatting
..computer mousing, I do left-handed or both.

Donuel, the violin position you use makes a beautiful visual impact with the cello. I wondered if there is a left-hand/right-hand issue is solves? Also I'm curious, would you play violin in that position with a group of regular violins? I'm thinking of the differences in sound due to the different in bowing.