Are we promoting public health or religious values?
The tightrope that these groups must walk, however, is at the heart of the American constitution, which demands the separation of church and state.
It might be a "tightrope" but it's not very far off the ground. It's hard to argue that abstinance is not an effective method of preventing STD's. The real harm (if it is real as stated in the related links) is dropping sex ed for another "just say no" campaign.