Go ahead and pull the rack.
Leave the rubbers on the engine.
You will need to remove the slow jets and clean them and all the passages in the carb body. Cut a short section of reinforced fuel line to slip over the slow jets, grab them with vice grips, and twist and pull, (do not rock)
When re-installing, bike on centerstand, heat the rubbers with a hair dryer, use some lube (WD40, silicone spray, ru glyde or whatever), straddle the bike with the seat off, grab an outside carb with each hand, rock the rack up and down while pushing forward till you feel them pop back into place. (tie the centerstand to the frame with a tie down so you don't push the bike off)
For the stripped screws, tap the deformed parts back into place with a punch, get a JIS screwdriver, dip the tip in valve grinding compound, tap the screwdriver into the screw head and give a sharp twist. (a little pre soak with liquid wrench and some heat won't hurt)…...if that doesn't work, drill the heads off.