http://youtu.be/tOAK3mCBlNQ
It's not pretty, but it is running without me feathering the gas pedal.
I then took the top cover off and attempted to balance the carbs with one of those air meter tool things:

However, when I placed it over the top of the carb, the engine started accelerating. This happened on both carbs and it took the needle off the top of the scale so made it impossible to make any adjustments.
My guess would be that it was running too lean and that restricting the airflow would richen it up enough to start racing like that (I hadn't wound the throttle stops all the way out because I just couldn't get it to idle like that...)

