I agree...
I am left eye dominant and shoot lefty. But yet with handguns, I can shoot either lefty or righty. Go figure...
I'm sort of weird in a way, regarding left/right handedness:
Right hand
Sports: bat, tennis, golf, hockey, throw football
Music: play guitar and other stringed instruments
Firearms: can shoot handguns right hand (or left hand)
Misc:saw wood
Left Hand
Sports: kick soccer ball, throw baseball, fling frizbee
Music: play drums (drum kit is reversed. floor tom-tom and hi-hatswitch sides, bass drum is kicked with left foot)
Firearms: shoot bows, rifles, shotguns, handguns
Misc: eat, write, hammer a nail