What is your issue with the faucet anyway?
I think you buried the lead, as they say.
If it is leaking around one of the handles, or dripping, you can take the valves apart to get new guts.
From the top side, if lucky.
If it is Kohler, you will pbly have to be a contortionist and usually have to remove the leaking hot or cold valve entirely, from above and below.
You also have to spin off the escutcheon located below the handle, which supports the valve body in the hole in the sink.
Overnight soaking in vinegar helps, by tightly wrapping the leaky side’s handle in vinegar saturated paper towels, to dissolve minerals that are in the threads of the escutcheon.
Then next day, sometimes a rubber glove helps you to apply enough twist to remove it by hand.
Or wrap with MANY layers of duct tape, and loosen it with big channel lock pliers.
Plan on some teeth marks, choose where they will show, usually left and right is best.
Then remove the cartridge from the valve body with a pair of looong oversized wrenches, they usually get fused on pretty hard from minerals.
Penetrating oil often helps at this stage.
FYI, the faucet handles might have a tiny set screw, or you might just be able to carefully pry them off the valve stem.
There is often a very snug fit onto a plastic fitting which holds the handle onto the stem.
This plastic part might break when pulling off the handle, you can get more from Kohler.
They usually only send free parts for newer fixtures.
But if you call them, always say you are the original owner, and don’t know the age of the fixture.