This makes it sound like the engine would be able to run with the fuel screw on one side out (close to where it should be) and the other side fully screwed in. Is that true? When I said that the left screw shut off the engine but the right screw didn't, I started by screwing in the left (leaving the right out), and the engine died. Then I backed out the left to where it was and screwed in the right, and the engine didn't die. So now I'm wondering, does that actually mean that the right side idle circuit is clogged? Your comment above sounds like the engine *should* run with the left side screw out and the right side all the way in--I could then fine-tune the left-side mixture.You can do it either way. You can shut down one side at a time by screwing in the mixture screw all the way and then adjusting the opposite side. Then precisely count the turns (so you can later put it back exactly where it was) while screwing it back in to shut off that cylinder and do the other side. Only screw them in until they seat very lightly, too tight can break off the tip. You can also take them out just to confirm that one of the tips isn't broken off and stuck in the hole, something I've seen more than once.
Maybe I'm misunderstanding...