Takes a little while to figure out the balance to unclip and lean the right way. What helps me is that i put my unclipping foot at 6 o'clock which for me is the easiest position to push down a bit and clip out with the least resistance. Also clipping out before you actually stop helps.. gives you more time to get set and balanced before stopping. instead of "stop..aw crap unclip.. step down"
i believe you are correct with the 1 leg drills. could probably be something to work on for rest days or warming up or whatever.