I'm not sure if it's normal.
When I want to put top down:
1- I turn the handle and release the top from the windshield frame
2- Manually push up the top with my hand and hold it about 6 inch from the windshield frame
3- Press and hold center button
4- When the top began to go down then I can remove my hand
To put top back on:
A- Press and hold center button
B- When the top is almost up, manually push up the top with my hand and hold it about 6 inch from the windshield frame
C- When the tonneau cover is closed, I can remove my hand
D- and turn the handle to closed the top
is the steps 2 - 4 - B and C are normal operation?
I was looking at these video
YouTube - Chrysler Crossfire Convertible Roadster, Car Review. and notice that he just push up the top and they stay there.