Congrats, I had a a little 89 scooter follow me home as well. Welcome and love this forum.
Mine does the same and I am figuring on doing this before i try rebuilding carbs. (found on here)
http://vmax.lvlhead.com/tips/shotgun.htm
There is also videos about changing diaphragms and getting them on ebay. can do them while your at it. may want to get a sync. tool.
Don't know about the heel toe shifter though. interesting what you find. post your results too, we be interested.