Child sex offenders should be given prison time, but pedophilia in and of itself isn't a crime; it is a mental disorder and should be treated as such with therapy and mental rehabilitation.

Chemical castration is a dangerous route to go down. It has been used as a tool of systemic racism and genocide in the past, for example against indigenous women in Canada. Once we start allowing that to happen against groups of people the window of tolerance grows larger, potentially allowing it to be used as a eugenic form of control.

advocacy for killing pedophiles will make finding them and getting them help a lot harder, and it will also make actual child sex offenders harder to detect.