Right-handed girl here, though my only exception is when it comes to stringed instruments (mainly violin). In that case, I'm kind of ambidextrous. No wonder my left fingers are trained to deal with the violin's fretless fingerboard while my right hand holds the bow.
It's nice because when I drive one-handed I use my left hand, of course, and I can rest my elbow on the side of the door. Whereas if I tried to do that right-handed, I'd have to hold my arm up the whole time.
i'll admit i'm kind of paranoid that one day i'll lose use of my left hand from injuring it or something so sometimes i try to do things with my right hand instead. i mostly do this when my hand/wrist hurts from drawing too much