Well, basic rights...but then again, that's only what we decide is basic rights, isn't it?
I just don't understand why people are so surprised when a person who deeply believes that something is right or wrong tries to make the world abide by laws that prevent them from doing the wrong and facilitate doing the right. On what grounds would you stop them?
I believe rights trumps morals. If you believe that same-sex marriages are immoral, you have the right not to partake of them. You don't have the right to impose your morals, right or wrong, on anyone else.
Which brings us to your second example. The right of a child not to be exploited takes precedence over anyone that thinks that it is moral to exploit them.
I still disagree. The right of a child not to be exploited takes precendence- but only because the majority agrees that sex with children is exploitation. In another time or another culture, it wouldn't have been considered that at all. Do we think we've reached the apogeum of morality? And by we, do we mean you and me and the posters on this board, or do the neighbours count too? Who decides what is moral and what is not? Who decides what is and isn't a right and what is abuse?
Why is it that your belief that something is immoral has more rights than the belief of someone who thinks it is okay? And vice versa, for homosexuality. For some people, it is a behaviour as unacceptable and harmful to society as, for example, theft (something that is almost universally considered immoral- almost). Of course they will fight to suppress something they consider immoral. Wouldn't you? They're not doing it because they want to be assholes and control other people's lives, they're doing it because they honestly believe those people are harming themselves and society by pursuing their desire.
I'm not saying they are right or that they should win. I'm just saying they have every right to fight for it.
(I don't think I need to put in a disclaimer saying I'm completely against exploiting children, and completely for giving gays the same rights heteros have, but just in case someone is confused by my messy attempts to make a point...)