Those metal strap things... I'm not sure if they are just a locking washer of sorts or keep the two screws aligned, I think just for locking the nuts so they unscrew less easily. That apparently didn't work for you.
The balancing screws interact with the idle screw to keep the motor running, plus the choke high idle cam setting is affected. Bench sync is a good start. If the rack is set up fairly well, ie the idle screw has travel both ways from your base idle and the choke cam is working OK, don't move all the sync adjusters much at all. If you're starting from scratch... set the idle screw so it has some travel both ways and adjust the individual carbs so maybe a 1/16" drill slides with a bit of drag under the slides. Remount and try to set your idle to about 1200 - even if it's rough and stalls out. Now check the idle screw and make sure there's some travel both ways, if you had to change the idle screw a lot then screw it back to the starting position plus half as many turns as you went to get the idle to 1200ish. Then redo the 1/16 drill bench sync. This should get the idle screw OK once you reset the idle after starting.
Now use the vacuum gauge. Turn the idle up as far as you need to get the bike to keep running, you should have a good strong fan blowing at the engine to avoid overheating. You need a remote fuel tank, either long hoses on the stock tank or a small test tank (I use a 1 quart metal solvent can with a hanging hook, petcock, and nipple).
- Using a single gauge is a good way to have a nervous breakdown.
- The gauge needle waves wildly for the reason you guessed. You need a restrictor/snubber in the vacuum line to steady the gauge at an average vacuum level. Stuffing a rolled up cigarette filter in the hose, near the carb end, works pretty nicely. You can add aquarium air system needle valves in the line(s) and have adjustable damping too, the valve should just be closed until the needle steadies, it will just be cracked open a hair. Leave a good length of tubing between the snubber and the gauge to give a "reservoir" of steady vacuum.
Anyway, you want to look at all four carb vacuums and adjust each towards the average. This will give you a balanced rack with the idle setting just about the same as before syncing. Some racks have one non-adjustable carb slide and the other 3 get adjusted to match it, sounds like yours has all four adjustable.
Once you have it balanced fairly close you should be able to drop the idle and check it again. The sync adjustments are more sensitive at lower idle speeds.