I'm going through my carbs trying to figure out why the bike is running poorly and leaking gas.
Found put part of the problem was the repair that I tried to make to one of the crap K&L o-rings didn't work. Gasoline-1, Hondabond-0. 8-(
Since none of the import bike places keep more than $9.72 worth of inventory on hand, I headed off to the H-D dealer on a hunch.
I've heard that the Sportster and KLR650 share the same carb body and the diaphragms are interchangeable. So that got me thinking--if the diaphragms are interchangeable, maybe the float bowl o-rings are too. So I checked the part numbers from Kawi and the o-rings from the KLR are the same ones as the Connie. Kawasaki wants around $10 plus shipping for each one. And I'd have to wait.
So off to Grand Canyon H-D in Mayer I go. Told the tech I needed a float bowl o-ring for a 2001 XLH883, but any year from 1992-2003 (at least, maybe later) will work.
Here's what he came back with:

The part number is 27577-92.

And here is the o-ring in the float bowl:

Note the little circle--that's for the accelerator pump and will have to be carefully snipped off.
Cost was $4.25. Kawasaki ought to be ashamed of what they charge for their service parts.
Not encouraging anyone to go the darkside, but if someone is in desperate need for a carb o-ring try H-D. Some of the dealers are open 7 days a week and they actually stock parts.