Modern western culture makes a distinction between religion and secular. But in the ANE (from which the Bible comes) both were usually seen as part of the same. A wrong in the community was also seen as a wrong against God or the gods.
As the modern becomes increasingly secular and less religious, I could see conflicts of interest such as this inrceasing.
As far as the WT goes, I don't think pedophilia is their main concern. Rather, it is how the current secular laws regarding pedophilia affect the status of their clergy-client privilege. And by extension, the status of the clergy-client privilege affects WT's control over their followers. For example, if the secular law required reporting cases of adultery (such as what Job 31:9 is referring to) then I believe you would find WT having a similar reaction as they do with the reporting of pedophilia.
That's my take on it, at any rate.