I'm not aware that anyone supports pedophilia. Your reference to "anti-Biblical sin" indicates that you are a fundamentalist Christian, but other faiths also are against it. Why are you trying to mix politics and sectarian religion? Just talking about folks in the Christian faith, they are all over the political spectrum, "right" to "left" and the "middle."
They're just flailing around, desperate for some perceived advantage to soothe their impotent rage and paranoia.
You don't think these are sincere, devout, serious Christians, do you?