By your process of elimination it sounds like it has broken the drive down the bottom. BUT does the tacho work etc. I mean the needles "moves" but my dick twitches too and it dont work too well...
Dont know about the 9 but (other) kwaks have two "dogs" on the wheel rim that slot into the drive. I dont think you could break them off as they are cast part of the wheel. It should be easy to pull the front wheel off with the tool kit (but it IS shit dont use it). Put your bike up on a trolley jack (if you didnt get one of the great Kaneg stands) GET SOMEONE TO HELP. You dont want a bodgey speedo AND scratched fairings and bent levers.
I am betting you may find some ummmm
filings in there
You are going to HAVE to pull the front wheel out, you have NO choice sorry.
One assumes it didnt "stop" last time the front wheel was out?
Or after a wheelstand etc. etc.