I had to cut mine with a dremel, hate those screws.I think you just have to remove the top triple clamp. you might be getting stuck on the small bolts that connect the clip ons (handlebars) to the top triple clamp. They aren't that obvious. (92150 in the following diagram)
Handlebar replacement parts for 2013 Kawasaki NINJA ZX-6R ABS (ZX636-FDF)
If you still don't understand or need more of a step by step, reference the service manual posted on this site.
I believe it. I guess they're purposely designed to be nimble so they break instead of something else more expensive in the event of a crash but yea, they are a pain in the ass.I had to cut mine with a dremel, hate those screws.