You might be starting with idle screw too far in, or maybe that's correct but the slides are adjusted wrong from the get go. How far did you dismantle the carbs? Even if you didn't totally dismantle them, doing a quick bench sync might be the way to go.
If you're not familiar, this process will get you real close to a good carb sync. So it would be rideable, but to get it perfect you'd need a Carbtune or some other tool to balance all the carbs together. Do a search for "flashlight method" on here, it should turn up.
And no, there should only be one set of slides, or throttle valves (?). They're the grey cylindrical pieces that slide up and down in the carb.
Have you ruled out ignition problems? That would be easier to rule out or fix vs. carb work. Just so you're not taking the carbs on and off 20 times, I'd look at the ignition first if I were you. You did say you put on new points after all.