Red-Green outraged over Söder statements - and rightly so. Söder repeatedly stands out because his statements have little to do with reality (e.g., when claiming that the SPD is to blame for the emerging Nazis), but in this case, he has added an extra layer of stupidity. If left to his own devices, he would probably demand the death penalty...
Every legal system unfortunately either has holes like a sieve or degenerates into a police state (those who think differently: keyword Gödel, just inform yourself). The attempt to mediate between these two extremes is the task of the legislative power of the state - which lies with the Bundestag. The Union does not have to make constructive proposals for change known through foaming-at-the-mouth hatemongers in the press, but should bring them forward there. Söder's remarks are pure populism and are definitely not intended to solve any existing problem or even define it more closely.
It is horrifying when a child is killed, and every child killed is one child too many - this is undisputed and not up for discussion. However, one cannot instrumentalize the death of a child to push through one's ideas - because reducing child abuse and sexual offenses against children to this one case ignores the much larger number of cases in which the perpetrators had absolutely not been previously convicted or noticed in any way. Where the perpetrators are not some known offenders, but someone from the child's immediate family environment.
Söder's outburst is not only far beyond the mark and absolutely devoid of understanding, it is also a dangerous simplification of the problem.