It is normal while you are installing them but when they are done right they will lay flat, end to end. Use a wide blade screwdriver or a similar tool to spread the plates so they do not overlap then tighten the bolts, alternating side to side as you go. Its not easy and it can be frustrating but for the perfect installation those plates should not overlap. Do not grind them to fit.
There is a lot of discussion here on installing the rear sprocket. I'll post a couple of links for you later. Gotta go eat breakfast right now.
Tom