It's funny, I've been having the exact same problems riding switch. Riding regular is second nature to me at this point so I can't really figure out what I am doing differently, although I've been using thetraveler's advice which helped me a bit on green trails (combined with trying to keep my board as flat as possible while still being on the heel edge).
Just to play around, I got on a lift riding switch with my right foot strapped in (I'm regular). Riding off the lift was fine but as soon as I tried skating my front foot felt like it was spring loaded and trying to whip my board around and knock me on my ass. Since I ride 15 -12 and pay attention to my upper body, I think (at least in my case) that it's just a matter of getting my right ankle used to flexing a certain way so as to not immediately initiate turns.