Is the camera of a FP2 better than the one of FP1?

Sounds like you’re looking for a camera that supports HDR. Though the FP1 seems to support it (HDR icon in the default camera app), results probably could indeed be better.
There are some complaints about the FP2 camers. though others appear happy. There is some discussion about whether an replacement camera module will be sold later on, but whether that will actually happen is anyone’s guess. For demo pictures and issues (which do not appear to affect all FP2s) with the FP2 camera, see for example (there are more if you use search) the following topics: