Todd, I'll defer to Stan and any 140 owner on what may be special about that carb., but I'd say to take the carb. with you even if you have already taken the shaft out. If you have a Deere dealer close by ask if they have part # AM106871 and compare it to your shaft. Even with the shaft still installed, you should be able to tell if it will work. It's in a plastic bag and they won't even have to open it. You may have to buy the threaded ball link also if yours has a rivited one it. You'll want new screws too. I'm pretty sure this pt. # just has a hole in the top. My dealer lists it at $10.30. It may be completely wrong as it is listed for 214 and 314 engines.
If you have a Kohler dealer closer, as Stan said, they probably will be able to fix you up. Take that carb., and the spec. number on the engine just in case. May even be less cost.
What ever you find, let us know. That $80 kit must be a humdinger!
Don't forget, Wheelhorse, Cub Cadet, Jacobson, and many others used Kohler "K" series engines if you need to find a Kohler dealer.
tommyhawk