You need thorough carb cleaning & refurb. Unless you buy brand-new OEM carburetor from Kawasaki dealer, any carbs you buy will be used and will perform exactly like yours. They will also need completely tear-down and restoration back to factory-fresh condition.
Search for "clean carbs ducatiman" on this forum to see what's needed to do full restoration. Then you bike will run like it's brand-new off showroom floor!
Had the sMe issue kinda of lol. Ducati man fixed me up on the carb side switch definitely need it , but I also had a holed diaphram on the petcock. Bike idled fine ,but would fall on its face with throttle.