The rebuild kit includes a replacement spindle and bushes for the throttle butterfly.
Really? I have never seen a carb rebuild kit that contained those parts. I know they are available separately but the kits I have purchased only contain the gaskets, seals, and perhaps a new float valve. Some contain a new jet but not all of them I have seen.
As a footnote to the replacement carb spindles, for some models there are oversized spindle shafts availalbe that are sized to take up the clearance in the carb body without installing bushings. They are a "relatively" inexpensive fix for carbs you cannot afford to have professionally bushed.
Jack, though that carb looks dirty on the outside, it's not too bad. The crud in the bottom of the float bowl should be cleaned out but take a look again and you will notice that the connection point for the flexible jet tube is actually in a little pocket at the bottom of the float bowl. That pocket minimizes the amount of debris that can get into the carb jet. In short, the float bowl looks worse than it really is.
There are numerous documents on the web about converting a Waxstat jet to be "like" a normal solid jet. The process involves removing that crimped on metal cap at the bottom of the jet and replacing the cartridge inside with a couple of pennies, then crimping the cap back on.
Be sure to follow all the steps listed in your Haynes manual and on the SU/Burlen web site linked above. Remember that there are pre-startup settings that must be made to the float level, the metering jet, and the fast idle/choke. It is very easy for people to forget that those pre-start adjustments have to be close to correct or the engine will not re-start. Read a lot before taking your carb apart and take your time putting it back together correctly.