That's what I did when my pilot screw got boogered. I don't have an extracter kit, but I took the carb to work with me and I used the kit at work to take care of it.

Might also try finding a left hand drill bit(no joking)to drill it out as you drill sometimes it will help back out the screw.I think when I got mine they were from a tool truck.(Snap-on,Matco,etc.)

I guess now I have something to do on the weekend... I was planning on riding with some buddies ( HD Fans). I want to show them how much fun a thumper can be!!!

 Thanks for the input guys, I'll let you know when my ride gets back on the road...( might do the white spacer mod. at the same time). Wish me luck.... SEE YA!!!

what is the recommended way to remove the plug without damaging the pilot screw ?
what size drill bit and how deep ?

wrap tape around the drill bit to make sure it doesnt go in far enough to smack the adjuster

Is this the same topic or a new one...?

Boy, all this surgery sounds like the prelude for "Damaged Carburetor" which will be followed by the sequel called "Need a New Carburetor".

How much you wanna bet, that when you drilled into the mixture screw with a drill bit that was turning clockwise that you also turned (tightened) the mixture screw all the way into the screw seat...(that will sometimes break the tip off the mixture screw, and ruin the orifice).

But then you beat on the screw with a screwdriver and a hammer while trying to make a slot?  Say what?  Were you trying to make sure that it was jammed all the way in?  If nothing else, the hammering most likely mushroomed the brass end inside the hole...or screwed up the threads.  After all, the carb body is cast aluminum and the screw is brass, plus there is even a seal in there too.

Whatever you do, don't try a screw extractor.  You might drill through the carb

Sorry man. not trying to give you hell, but that was just a cluster fluck of things to do.

Back to the problem...I think that I remember someone else that had to get a screw out.  As I recall, he used a dremel tool and cut away the aluminum on the front side of the carb around the mixture screw.  Then when he got down to the top of the screw, he was able to turn it from the side.

I'd try that if you can, but I bet you might need to take it to a shop.

nef584 should not feel bad.
very very easy to screw(no pun intended)up the carb pilot screw.
I am currently among those who drilled with regular rotation drill bit, dremmeled and generally fache'd the whole arrangment up so badly that  as i write this i am waiting for a fellow member to ship the used carb i purchased  to me. the old one is toast.